Question

What is the inverse of the function g(x)=-3(x+6)? g^-1(x)=

Answer 1

-6 -
`(x)/(3)`

Explanation:

Answer 2

`g^(-1)(x)=-6-(x)/(3) =-(x)/(3) -6`

Explanation:

First assign a letter "y" to g(x) and get rid of parenthesis on the right:

`g(x)=-3\,(x+6)\\y=-3x-18`

Now, solve for "x":

`3x=-18-y\\x=(-18-y)/(3)\\x=-6-(y)/(3)`

now replace y with x, and call x :
`g^(-1)(x)`

`x=-6-(y)/(3) \\g^(-1)(x)=-6-(x)/(3)`