Question

Let f(t) = 3 + 2, g(x) = -x^2?, and
he) = x - 2/5. Find the indicated value.
Question 22

Answer 1

To find h(f(-9)), first, we need to find f(-9) substituting x = -9 into f(x), as follows:

$\begin{gathered} f(x)=3x+2 \\ \text{ Substituting x = -9,} \\ f\mleft(-9\mright)=3(-9)+2 \\ f(-9)=-27+2 \\ f(-9)=-25 \end{gathered}$

Substituting f(-9) = -25 into h(f(-9)), we get h(-25).

To evaluate h(-25) we have to substitute x = -25 into h(x), as follows:

$\begin{gathered} h(x)=\frac{x-2}{5} \\ \text{ Substituting with x = -25,} \\ h(x)=\frac{-25-2}{5} \\ h(x)=-\frac{27}{5} \end{gathered}$