Question

Evaluate composite functions

Answer 1

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:

$f(t) = t^2 -10t$

$h(t) =\frac{24}{t}$

To calculate f(h(12)), we start by calculating h(12).

So, we have:

$h(12) =\frac{24}{12}$

$h(12) =2$

Given that:

$f(t) = t^2 -10t$

The function becomes

$f(h(t)) = h(t)^2 -10h(t)$

Substitute 12 for t

$f(h(12)) = h(12)^2 -10h(12)$

Substitute 2 for h(12)

$f(h(12)) = 2^2 -10*2$

$f(h(12)) = -16$

Hence, Vince's mistake is that (c) Vince evaluate h(f(12)) not f(h(12))

Read more about composite functions at:

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