Question

Please help me!

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

g^-1=

Thanks

Answer 1

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

Explanation:

suppose g⁻¹(x) = y

g⁻¹(x) = y ⇔ g(y) = x

Here we have to work out y ,in order to determine

the inverse function g⁻¹.

g(y) = x

⇔ -3(y + 6) = x

`\Longleftrightarrow (y+6) =- (x)/(3)`

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

Therefore,

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