Question

Find the inverse of the function f(x)=-2/3x-18 show work

Answer 1

C

let y = f(x)

Then rearrange making x the subject

y = - $\frac{2}{3}$ x - 18 ( add 18 to both sides )

y + 18 = - $\frac{2}{3}$ x

multiply both sides by -  $\frac{3}{2}$

- $\frac{3}{2}$ (y + 18) = x

x = - $\frac{3}{2}$ y - 27

change y to x for inverse function

$f^{-1}$(x) = - $\frac{3}{2}$ x - 27 → C