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

Inverse function y =
`(-x)/(3)` +
`(2)/(3)`

Find the plots attached!

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

`(x - 2)/(3)` = -y

y =
`(-x)/(3)` +
`(2)/(3)` (the inverse function is also called
`f(x)^(-1)`

I hope it helps :)