Question

what is the value of $f(g(6))$ if $f(x) = 2x + 4$ and $g(x) = x^2 + 5$?
a 43
b 261
c 86
d 38
e 57

Explanation:

Step1: Calculate $g(6)$

$g(6) = 6^2 + 5 = 36 + 5 = 41$

Step2: Substitute into $f(x)$

$f(g(6)) = f(41) = 2(41) + 4 = 82 + 4 = 86$

Answer:

C. 86