Given:
[tex]f(x)=x^2-4[/tex]
Required:
We need to find the value of h(f(-2)).
Explanation:
Substitute x = -2 in the function f(x) to find f(-2).
[tex]f(-2)=(-2)^2-4[/tex]
[tex]f(-2)=4-4[/tex][tex]f(-2)=0[/tex]
Substitute f(-2) = 0 in h(f(-2)).
[tex]h(f(-2))=h(0)[/tex]
We get the point (0,-2) from the given graph h(x).
The point (0,-2) means that h(0)= -2.
[tex]Substitute\text{ }h(0)=-2\text{ in the equation }h(f(-2))=h(0).[/tex]
[tex]h(f(-2))=-2[/tex]
Final answer:
[tex]h(f(-2))=-2[/tex]
