Question

find $(g \circ f)(5)$ in simplified form.
$f(x) = x + 1$

$x$	$g(x)$
3	-9
6	8
-6	-2
-3	2

Explanation:

Step1: Find f(5)

To find \( (g \circ f)(5) \), we first need to find \( f(5) \) since \( (g \circ f)(5) = g(f(5)) \). Given \( f(x) = x + 1 \), substitute \( x = 5 \):
\( f(5) = 5 + 1 = 6 \)

Step2: Find g(f(5)) = g(6)

Now we need to find \( g(6) \) using the table for \( g(x) \). Looking at the table, when \( x = 6 \), \( g(6) = 8 \).

Answer:

\( 8 \)