Question

Perform the indicated operation using the three nonlinear functions shown below.

Answer 1

Given:

`f(x)=x^2-4`

Required:

We need to find the value of h(f(-2)).

Step-by-step explanation:

Substitute x = -2 in the function f(x) to find f(-2).

`f(-2)=(-2)^2-4`

`f(-2)=4-4`
`f(-2)=0`

Substitute f(-2) = 0 in h(f(-2)).

`h(f(-2))=h(0)`

We get the point (0,-2) from the given graph h(x).

The point (0,-2) means that h(0)= -2.

`Substitute\text{ }h(0)=-2\text{ in the equation }h(f(-2))=h(0).`

`h(f(-2))=-2`

Final answer:

`h(f(-2))=-2`