Question

Find the inverse of the function.

Answer 1

The option 'b' is true.

Explanation:

Given the expression

`f\left(x\right)=(2)/(x+7)`

A function g is the inverse of the function f if for y=f(x), x=g(y)

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

Replace x with y

`\:x=(2)/(y+7)`

solve for y

`y=\:\:(2)/(x)-7`

Thus,

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

Therefore, option b is true.