CPM Homework Banner

Home > CCA2 > Chapter 5 > Lesson 5.2.5 > Problem 5-112

5-112.

If and g(x) = −(x + 6)2 + 7 for x ≥ −6, find f(g(x)) and g(f(x)). What do the results tell you about f(x) and g(x)? 5-112 HW eTool (Desmos). Homework Help ✎

Substitute  into  to find f(g(x)).

It should look like 

Substitute  into  to find g(f(x)).

f(g(x)) = g(f(x)) = x.
They are inverses.

Explore using the eTool below.
Click the link to the right for full version. CCA2 5-112 HW eTool