Composition of Functions · Exercise 5

Use the table below showing values of $f\left(x\right)$ and $g\left(x\right)$ to find each of the following. Remember when working with composition functions we always evaluate the inner function first.

$$\begin{array}{cccccccc}x& \text{–3}& \text{–2}& \text{–1}& \text{0}& \text{1}& \text{2}& \text{3}\\ f\left(x\right)& \text{11}& \text{9}& \text{7}& \text{5}& \text{3}& \text{1}& \text{–1}\\ g\left(x\right)& \text{–8}& \text{–3}& \text{0}& \text{1}& \text{0}& \text{–3}& \text{–8}\end{array}$$

ⓐ $f\left(1\right)=$
ⓑ $g\left(f\left(1\right)\right)=$
ⓒ $g\left(0\right)=$
ⓓ $f\left(g\left(0\right)\right)=$
ⓔ $f\left(g\left(2\right)\right)=$
ⓕ $f\left(f\left(3\right)\right)=$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §3.4 Composition of Functions · Exercise 5