Answer:
[tex]h(g(t))=8t+8[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]h(t)=2t-2\text{ and } g(t)=4t+5[/tex]
And we want to find:
[tex]h(g(t))[/tex]
So, by substitution, we acquire:
[tex]h(g(t))=2(4t+5)-2[/tex]
Distribute:
[tex]h(g(t))=8t+10-2[/tex]
Simplify:
[tex]h(g(t))=8t+8[/tex]
