Which function is the inverse of function f? f(x)= x+2/7 A. p(x)=7x-2 B. s(x)=2x+7 C. r(x)=7/x+2 D. g(x)=-x+2/7

Question

asked Apr 2, 2023 115k views

1 Answer

Huggie · Answer 1 · 2023-04-06T15:55:45+0000

To answer this question, we can proceed as follows:

1. We have that the function is:

2. To find the inverse of the function, we can start by interchanging the variables:

$y=(x+2)/(7)\Rightarrow x=(y+2)/(7)$

3. Now, we need to solve for y as follows:

1. Multiply both sides by 7:

$7x=7\cdot(y+2)/(7)\Rightarrow7x=y+2$

2. Subtract 2 from both sides of the equation:

$7x-2=y+2-2\Rightarrow7x-2=y\Rightarrow y=7x-2$

In summary, therefore, the inverse function f is p(x) = 7x - 2 (option A).