Question

1. use the table below to find (f ∘ g)(1) . (3 points)

x 0 1 2 3 4 5 6 7
f(x) 5 7 9 11 13 15 17 19
g(x) 3 6 9 12 15 18 21 24

Explanation:

Step1: Recall composition formula

$(f\circ g)(x)=f(g(x))$. So $(f\circ g)(1)=f(g(1))$.

Step2: Find $g(1)$

From the table, when $x = 1$, $g(1)=6$.

Step3: Find $f(g(1))$

Since $g(1)=6$, we need to find $f(6)$. From the table, when $x = 6$, $f(6)=17$.

Answer:

$17$