Question

Find the inverse of the function.

Answer 1

Answer:

The option 'b' is true.

Step-by-step explanation:

Given the expression

$f\left(x\right)=\frac{2}{x+7}$

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

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

Replace x with y

$\:x=\frac{2}{y+7}$

solve for y

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

Thus,

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

Therefore, option b is true.