Question

If f(x)=1/2 x-6 what is the equation for f–1(x)?

Answer 1

Answer:

Option C $f^{-1}(x)=2(x+6)$

Step-by-step explanation:

we have that

$f(x)=\frac{1}{2}x-6$

Let

$y=f(x)$

$y=\frac{1}{2}x-6$

Exchange the variables x for y and y for x

$x=\frac{1}{2}y-6$

Isolate the variable y

$x+6=\frac{1}{2}y$

$y=2(x+6)$

Let

$f^{-1}(x)=y$

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

Answer 2

I hope this helps you