Question

`g(x) = 3x - 6`and


`{g}^( - 1)(x) = (x + 6)/(3)`. With g(x) and

`{g}^( - 1)(x)`, find

`{g}^( - 1)(g(10))`. Make sure to show your work.​

Answer 1

Hey there! :)

Answer:

`g^(-1) (g(10))=10`

Explanation:

Begin by calculating g(10):

g(x) = 3x - 6

Substitute in 10 for x:

g(10) = 3(10) - 6

g(10) = 30-6

g(10) = 24.

Plug '24' into 'x' into
`g^(-1) (x)`

`g^(-1) (24)=((24) + 6)/(3)`

Simplify:

`g^(-1) (24)=(30)/(3)`

`g^(-1) (24)=10`