1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleks04 [339]
2 years ago
15

Find the inverse of the following function​

Mathematics
2 answers:
brilliants [131]2 years ago
8 0

Answer:

ƒ^-1 (x) = \frac{2-7x}{2+x}

Step-by-step explanation:

Substitute y for f (x)

y = \frac{-2x+2}{x+7}

Interchange x and y

x=\frac{-2y+2}{y+7}

Swap the sides of the equation

\frac{-2y+2}{y+7} = x

Multiply both sides of the equation by y + 7

-2y + 2 = (y + 7)x

Distribute x through the parentheses

-2y + 2 = xy + 7x

Move the expression/constant to the left-hand side and change its sign

-2y - xy + 7x - 2

Factor out  from the expression

(-2 - x)y = 7x - 2

Divide both sides of the equation by -2 - x

y = \frac{7x-2}{-2-x}

Simplify the expression

y = \frac{2-7x}{2+x}

Substitute ƒ ^-1 (x) for y

f^{-1} (x) = \frac{2-7x}{2+x}

KatRina [158]2 years ago
3 0

f-¹(x)=\frac{2-7x}{x+2}

Answer:

Solution given:

f(x)=\frac{-2x+2}{x+7}

Let f(x)=y

y=\frac{-2x+2}{x+7}

Interchanging role of x and y

x=\frac{-2y+2}{y+7}

doing crisscrossed multiplication

x(y+7)=-2y+2

now solve it:

xy+7x=-2y+2

keep like terms in one side

xy+2y=2-7x

take common

y(x+2)=2-7x

make a value of y

y=\frac{2-7x}{x+2}

So,

f-¹(x)=\frac{2-7x}{x+2}

You might be interested in
The perimeter of a rectangle is 180 cm. It's length is 70 cm. But what is the width​
aleksandr82 [10.1K]
20

Formula for perimeter: length x 2 + width x 2

70x2 is 140 then subtract it from 180 and you’ll get 40, then you half it and get 20
8 0
2 years ago
PLS HELP THIS IS HARD ANYONE PLS
marysya [2.9K]

Answer:

it's going to be the first one, (x+7,-y)

Step-by-step explanation:

take one point, A for example and count how far it moved left and right. left is negative, right is positive, do the same for y

7 0
3 years ago
Read 2 more answers
On a recent survey, 60% of those surveyed indicated that they preferred walking to running.
Montano1993 [528]

Answer:

324 people, C

Step-by-step explanation:

You first make 60 percent a decimal by moving the deciaml point up two digits, which makjes the number .60. Then, multiply 540 x .60 which gets your 324.

3 0
3 years ago
Help me in math aaaaaaa​
Dominik [7]

Answer:

105

Step-by-step explanation:

180 - 140 = 40

180 - 145 = 35

35+ 40 = 75

180 - 75 = 105

a = 5

5 0
3 years ago
Read 2 more answers
What are these in slope-intercept form? <br> 2y+2x=−8<br> y+x=−4
nordsb [41]

Answer:

1. y=-x-4

2.y=-x-4

Step-by-step explanation:

They are the same

4 0
3 years ago
Other questions:
  • Which of the following is a reasonable estimate for the weight capacity of an elevator that can carry up to 15 people?
    12·2 answers
  • The function L = 0.8T2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the
    10·1 answer
  • Geometry Question, I’m really super duper confused here
    6·1 answer
  • AB contains the points A(7, -11) and B(8,17). find the slope of a line perpendicular to AB
    5·2 answers
  • Each output value is equal to the square of the input value minus<br> five
    9·1 answer
  • If 7^9/7^n = 7^3 , then n is _____.
    8·2 answers
  • PLEASE HELP ME OUT..........
    8·2 answers
  • A line passing through the point (12, -5) has a slope of 1/3
    15·1 answer
  • Which of the following tables represents a proportional relationship?
    11·1 answer
  • What’s the word<br><br><br><br> Only true family guy fans will understand
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!