Question

Find the inverse function in slope-intercept form (mx+b)

f (x) = x - 16

f^-1 (x) =

Answer 1

Answer:

$\rm y = x + 16$

Step-by-step explanation:

A function is given to us and we need to write the inverse of the function in slope intercept form . The given function is ,

$\rm\implies f(x) = x - 16$

Let ,

$\rm\implies y = f(x)$

So that ,

$\rm\implies y = x - 16$

Interchange x and y ,

$\rm\implies x = y - 16$

Solve for y ,

$\rm\implies y = x + 16$

Now replace ,

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

We have ,

$\rm\implies f^{-1}(x) = x+16$

And in slope intercept form ,

$\rm\implies \boxed{\pink{\frak {y = x +16}}}$