Question

Inverse for f(x)=1/2x+3

Answer 1

Answer: $f^{-1}(x)=2x-6$

Step-by-step explanation:

To find the inverse, we want to switch the y with x and x with y. Once we do that, we solve for y.

$y=\frac{1}{2}x+3$        [switch x and y]

$x=\frac{1}{2}y+3$        [subtract both sides by 3]

$x-3=\frac{1}{2} y$        [multiply both sides by 2]

$y=2x-6$

Now, we know that  $f^{-1}(x)=2x-6$.