Question

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

Answer 1

To answer this question, we can proceed as follows:

1. We have that the function is:

`f(x)=(x+2)/(7)`

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).