Question

Given f(x)=-2x+5 find f^-1(x)

Answer 1

Answer:

D. $f^{-1}(x)=-\frac{x}{2}+\frac{5}{2}$

Step-by-step explanation:

The given function is

$f(x)=-2x+5$

Let

$y=-2x+5$

Interchange x and y.

$x=-2y+5$

Solve for y.

$x-5=-2y$

$\frac{x-5}{-2}=y$

$\frac{x}{-2}-\frac{5}{-2}=y$

$-\frac{x}{2}+\frac{5}{2}=y$

Therefore

$f^{-1}(x)=-\frac{x}{2}+\frac{5}{2}$