Composite functions are functions derived by combining multiple functions
Vince's mistake is that (c) Vince evaluate h(f(12)) not f(h(12))
How to determine Vince's mistake
The functions are given as:
[tex]f(t) = t^2 -10t[/tex]
[tex]h(t) =\frac{24}{t}[/tex]
To calculate f(h(12)), we start by calculating h(12).
So, we have:
[tex]h(12) =\frac{24}{12}[/tex]
[tex]h(12) =2[/tex]
Given that:
[tex]f(t) = t^2 -10t[/tex]
The function becomes
[tex]f(h(t)) = h(t)^2 -10h(t)[/tex]
Substitute 12 for t
[tex]f(h(12)) = h(12)^2 -10h(12)[/tex]
Substitute 2 for h(12)
[tex]f(h(12)) = 2^2 -10*2[/tex]
[tex]f(h(12)) = -16[/tex]
Hence, Vince's mistake is that (c) Vince evaluate h(f(12)) not f(h(12))
Read more about composite functions at:
https://brainly.com/question/10687170
