Question

What is the inverse of the function g ( x ) = − 3 ( x + 6 ) g(x)=−3(x+6)g, left parenthesis, x, right parenthesis, equals, minus, 3, left parenthesis, x, plus, 6, right parenthesis?

Answer 1

Answer:

Then inverse of the given equation is given by ,$f^-1$(x)=  (-x/3 - 6)

Step-by-step explanation:

Given:

Function as g(x)=-3(x+6).

To Find :

The inverse function of the g(x).

Solution:

We know that step involving to convert into inverse function as follows :

Further ,

1. Replace g(x) with function as  "y",

             hence it becomes ,

            y=-3(x+6)

     2.Then solve for the x value ,

        it becomes as ,

      $\frac{-y}{3}$=x+6,

    $\frac{-y}{3}$-6=x

     3. Replace x with y and y with x we get ,

   $\frac{-x}{3}$-6=y.

it is written as ,

y=$f^-1$(x)=  -x/3-6

Then inverse of the given equation is given by ,$f^-1$(x)=  -x/3-6.