If f(x)=(x+3)³+4
let g(x)=f(x+1)-2
find when g(x)=12

Step-by-step explanation:

The composite function (f(x+1)) is moved in the x-axis by -1, you know this by solving x+1=0.

The equivalent expresion for f(x+1) is

Eval the above expression in g(x)

We must find x that gives g(x)=12

The equation is the following

Grouping terms>

To solve for x, must apply cubic root in both sides of equation:

it then turns in the following>

Giving the stated answer

16 would be your answer