Question

what is $f(g(5))$?
$f(x)=x^2 - 4x - 5$

$x$	$g(x)$
1	2
2	4
3	8
4	16
5	32

Explanation:

Step1: Find $g(5)$ from table

From the table, when $x=5$, $g(5)=32$.

Step2: Substitute into $f(x)$

Substitute $x=32$ into $f(x)=x^2-4x-5$.
Expression: $f(32)=32^2 - 4\times32 - 5$

Step3: Calculate each term

$32^2=1024$, $4\times32=128$
Expression: $f(32)=1024 - 128 - 5$

Step4: Compute final value

Expression: $f(32)=1024-133=891$

Answer:

891