Question

5. Using the function
f(x)=-3x+4 -2,
a) determine the equation of the inverse.
b) sketch both the function and the inverse on the same grid. Make sure to
include the line y = x on your graph

Answer 1

Answer:

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

Find the plots attached!

Step-by-step explanation:

Starting with our equation:

f(x) = -3x + 4 - 2 this is equal to y = -3x +2 (we can call f(x) as y)

To find the invert we swap x for y

y = -3x +2 become x = -3y +2 now we isolate y again!

x - 2 = -3y

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

y = $\frac{-x}{3}$ + $\frac{2}{3}$ (the inverse function is also called $f(x)^{-1}$

I hope it helps :)