Mathematics High School

Find the inverse of each of the given funcions
fo) = 4x-12
51x)=
DONE
o

Find The Inverse Of Each Of The Given Funcionsfo) = 4x-1251x)=DONEo

Answers

Answer 1

Let y be f(x)

[tex]\\ \sf\longmapsto y=4x-12[/tex]

Swipe the values

[tex]\\ \sf\longmapsto x=4y-12[/tex]

Isolate y

[tex]\\ \sf\longmapsto 4y=x+12[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+12}{4}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{1}{4}x+3[/tex]

Hence.

[tex]\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{4}x+3[/tex]

Answer 2

Let y=f(x)

y=4x-12

Now interchange the variables

x=4y-12

The y we need now

x+12=4y

Divide both sides by 4

y=(x+12)/4

This is the inverse

Related Questions

need help pls thx..........

Answers

Answer:

170 degree. is the answer

10.

Match the graph with the correct equation.

A. y + 3 = –(x + 5)
B. y – 5= –(x + 3)
C. y – 3 = (x + 5)
D. y – 3 = –(x + 5)

Answers

Answer:

D. y - 3 = -(x + 5)

Step-by-step explanation:

I used a calculator called m.a.t.h.w.a.y !

Answer:

D. y – 3 = –(x + 5)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

−

1

y-intercept:  

(

0

,

−

2

)

x

y

0

−

2

1

−

3

A plant grows 3/8 inch every month. How many inches
does the plant grow in 10 months?
© ?
0 10

Answers

Answer:

B. 3 3/4

Step-by-step explanation:

3/8 * 10 = 30/8

30/8 = 3 3/4

3 3/4 inches or 15/4

how much is 40+ 12= and 34=23=34=45=4=

Answers

Answer:

52 and 150?

Step-by-step explanation:

40+12=52

34+23+34+45+4

Simplify: 57+34+49

Simplify: 91+49

Add: 140

english 5 hhhhhhheeeeellllllpppp me

Answers

Answer:

A

Step-by-step explanation:

because it makes more sense

A


because ive learned this and its just logic. also read it out loud and think of which one makes more sense

You receive an inheritance of $15,500, and you place the full amount into a bank account. The bank pays a simple interest rate of 7.5% per year. How much interest have you earned after three years?

Round your answer to the nearest dollar.

Do NOT round until you have calculated your final answer

Answers

To solve this we need to figure out what 7.5% of 15,500 is. (It’s 1162.5). Now we know that after one year it is a total of 16,662.5. We then figure out what 7.5% of 16,662.5 is, which is 1,249.6875. You then add that to 16,662.5 which comes out to 17,912.1875. We then figure out 7.5% of that is 1,343.4140625. We then add that to the last total which is 19,255.6015625 and we simplify that to 19,256 and we find out that the final total is $19,256. But it wants how much have we earned which means we need to subtract the original from the new, which is 3756 and we add a unit.

Meaning the final answer is $3,756.

Two sides of a triangle have lengths 6 and 16. Which inequalities represent the possible

lengths for the third side, x?

Answers

Answer:

22 > x > 10

Step-by-step explanation:

By the triangle inequality, the length of the 3rd side must be less than the sum of the two other sides and greater than the positive difference of the other two sides.  Thus, 6 + 16 > x > 16 - 6

22 > x > 10

Dilations of a triangle are congruent to the original triangle.

Answers

Answer:

origanal

Step-by-step explanation:

origanaol

guys pls help me!!!!!!

Answers

x=167⁰ (alternate or z angles)

Drag a statement or reason to each box to complete this proof.

Given: the measure of angle A C D equals 60 degrees. Prove: triangle A B C is an obtuse triangle. Art: A triangle A B C. Side B C of the triangle is extended as a ray through point D.

--
check images below!

Answers

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle ABC with extended line CD.

Since CD is colinear with BC, therefore, BCD will be a single straight-line segment.

The ∠BCD is straight angle so it will be 180°.

∠BCD = ∠ACB + ∠ACD

∠ACB + 60 = 180

∠ACB = 180 - 60 = 120°.

An obtuse triangle is a triangle whose one or more interior angle is greater than 90°.

Since∠ACB > 90° therefore triangle ABC is an obtuse angle.

Hence "The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle".

For more about triangles,

https://brainly.com/question/2773823

#SPJ5

Solve for x step by step: 2(n+5)=-2

Answers

The answer is -6

Step 1: Simplify both sides of the equation.
(2)(n) + (2)(5) =-2
2n + 10 = -2
Step 2: Subtract 10 from both sides.
2n+10−10=−2−10
2n = -12
Step 3: Divide both sides by 2.
2n/2 = -12/2
N=-6

Which expression(s) are equivalent to -12.48 Show me how to do it pls
-416 x 0.3.
-3 x 41.6.
-4.16 x 3
All of the above

Answers

Answer:

C. -4.16 x 3

Step-by-step explanation:

Find the values of expressions and compare with -12.48:

-416 * 0.3 = -124.8 ≠ -12.48, No-3 * 41.6 =  -124.8 ≠ -12.48, No-4.16 * 3 = - 12.48, Yes

#1

-416(0.3)-12.48

Yes

#2

-3(41.6)-124.8

No

#3

-4.16(3)-12.48

Yes

Antonio thought of a number ‘x’. He subtracted 7 from thrice the number to get 11.

Find x.​

Answers

Answer:

32=X becuase you said He subtracted 7 three times or thrice so we multiply that then add 11 because it was our remaining number from subtraction. so 32

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST ASAP

Answers

Answer:

I believe it's also 74°

Step-by-step explanation:

Because AGF and CGE are congruent,so the angle measurement should stay the same

Answer:

CGE is 74°

Step-by-step explanation:

AGF = FGD

FGD = CGE

AGF = EGB

AGF = 74°

FGD = 74°

CGE = 74°

EGB = 74°

360° is a circle and CGA = BGD

74 + 74 + 74 + 74 + x + x = 360

296 + 2x = 360

2x = 360 - 296

2x = 64

2x/2 = 64/2

x = 32

CGA and BGD are 32

CGE is 74°

Hope This Helps! •v•

The set of all possible outputs for a function is its:

Answers

Answer:

the set of all possible outputs for a function is the range

find the missing number so that the equation has no solutions ?x-4=4x-11

Answers

Answer:1

Step-by-step explanation:I took the test


What is the midpoint of the segment that joins the complex numbers 7 + 3i and -5 – 8i?
A) 16+11/2i
B) (1,5/2)
C) 1- 5/2i
D) (-6, 11/2)

Answers

Answer:

C)

Step-by-step explanation:

The midpoint is the average of the two points.

Thus,

Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i

3. Dean has these cans of soup in his kitchen cabinet: 2 tomato, 3 chicken, 2 cheese, 2 potato, 1 beef. Dean will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of beef soup both times? *

Answers

Answer:

2/20 or 0.1

Step-by-step explanation:

So we are given this data:

Tomato = 2

Chicken = 3

Cheese = 2

Potato = 2

Beef = 1

Total Chances (Sum Of All)

Total = 10

Beef is 1

To get beef soup one time it would be 1/10

what about 2 times

we can just multiply by 2*

so 1  / 10 * 2 = 2 / 20 or 0.1

The Answer would be 2/20 or 0.1

jada has $20 to spend on games and rides at a carnival. Games cost $1 each and rides are $2 each.

which equation represents the relationship between the number of games, x , and the number of rides, y,
that Jada could do if she spends all her money?
A: x + y =20
B: 22 + 4 = 20
C: 0+2y=20

Answers

Answer:

I believe its A

Step-by-step explanation:

Hope it helps

The answer is a :)) hope this helps

Graeme is inviting 7 friends to a party.Each friend wants 4 cookies and each box has 12 cookies. How many boxes should Graeme get?

Answers

Answer:

Graeme should get 3 boxes

Step-by-step explanation:

hope this helped!

you got this dont ever give up all of you are so so smart!!

explain how and solve please asap !

Answers

y is pretty straightforward:
3y = 123
y = 41
x is slightly less trivial but also simple:
123 + 4x + 1 = 180
4x = 56
x = 14

Answer:

x=14

y=41

x+y= 55

Step-by-step explanation:

Since a and b are parallel you know that 123° and 3y are the same degree, so 123 divided by 3 because its 3×y= 41 so y=41

the line123° and 4x+1 are on has to equal 180 because its a straight line, 180-123= 57. 57- 1 because its not with the x= 56. 56÷4 because its 4×x/its with the x= 14. Hope thsi helps :)

A student’s parents invested $5,000 in q college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.

Which amount is closes to the interest earned on the account at the end of 15 years?

A. $5,174.11
B. $10,174.11
C. $3,637.50
D. $8,637.50

Answers

Answer: A

Step-by-step explanation: The student gathers an extra 5,174.11 with the interest.

The amount close to the interest earned on the account at the end of 15 years will be $3,637.50. Then the correct option is C.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

A student’s parents invested $5,000 in q college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.

The amount close to the interest earned on the account at the end of 15 years is given as,

I = ($5,000 x 4.85 x 15) / 100

I = $3,637.50

The amount close to the interest earned on the account at the end of 15 years will be $3,637.50. Then the correct option is C.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ6

What is the distance between 3 and 1?

Answers

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Someone help meee?
This is soo hard

Answers

Answer:

100

Step-by-step explanation:

angles CHF and EHI are congruent angles because CD is a straight line.

Therefore EHI must be 20 degrees.

angles DIG and EIH are congruent angles because CD is a straight line.

Therefore EIH must be 60 degrees.

Now that you know two of the three angles in the triangle HEI,

Total degrees in a triangle - EIH - EHI = HEI

180 - 60 - 20 = 100

Plz answer quick giving brainliest

Answers

Simplify using FOIL 15x3+18x+10x2+12
The answer is (3x+2)(5x^2+6)
Please mark brainelist

Help find the measure of X

Answers

Answer:

x = 3.236

Step-by-step explanation:

whats 7 squared ....................................................

Answers

Seven to the second power is 49

Answer:

[tex]49[/tex]

Step-by-step explanation:

[tex]→7×7[/tex]

[tex]→49[/tex]

uhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

Caaaaannnnnn''ttttttttt seeeee iiiiiitttttt

Given the Quadrilateral pictured below. What is the
value of "X"?

Answers

Answer:

Value of x is used to consider unknown value.

Step-by-step explanation:

Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable.

four hundred five times seventy

Answers

Answer:

Step-by-step explanation:

28350, two thousand and eight, three hundred and fifty

Answer:

28350

Step-by-step explanation:

Other Questions
Please help me this question During the period 800 BCE to 1500 BCE, following the fall of the Roman Empire, Europe seemed to experience a dramatic decline in its cultural growth and development. Meanwhile, life in other parts of the world was no so Medievalthose cultures made tremendous advances in science, art, exploration, and scholarship.What caused this difference between Europe and Africa, Asia, and the Middle East during the Middle Ages? Why do you think other parts of the world experienced golden ages during a time when most Europeans struggled through the Dark Ages?Explain your answer in a thoughtful discussion post, including your reasons for thinking as you do. Then, read some of your classmates' answers and respond to their ideas. PLEASE WORK HARD AND FAST AND I WILL MARK YOU BRAINLISTCompare and contrast Andrew Jacksons and Henry Clays arguments about American Indian removal. Write a paragraph explaining each mans opinion on this issue. Use evidence from the documents to support your conclusions. Access the documents here. Write 4-5 sentences why are half your answers incorrect the ____________________ is based on the prices of merchandise that are exported or imported. 4. Explain error and how it can impact your results from an experiment A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence of three actions. Each action consists of either pressing one of the buttons or pressing a pair of them simultaneously. Passes through (-4,6) and (2,7) Which location, D or A, would you expect to have the greatest annual rainfall? Explain your rationale using what you have learned about the factors impacting climate. p=(m+n)/-5 solve for n find charge and charge density on the surface of a conducting sphere of radius 15.2cm where potential at 215 v The students borrowed the teachers textbook.Insert apostrophes where necessary 1. Give three examples, from the lab, where potential energy was converted to kinetic energy: what is the definition of a record under the presidential and federal records act amendments of 2014? how time management can lead to effective studying Ammonium sulphate + __________________ potassium sulfate + ammonia + waterPlease fill in the blank. Jonas is building a fence around his square garden. The area of his garden is 181 ft2. Jonas needs to determine the length of each side. Which number line best represents a graph for the value of 181? 5x -4(x - 3) - 8 = Ax + B How many phrases show the narrator's thoughts or ideas in the following statement:The old man was bent into a capital C, his head leaning so far forward that his beard nearlytouched his knobby knees.246 Whats is sweats main idea? In the whiskey speech