Question

find ((f circ g)(2)) for the following functions. (f(x) = x^3 + x^2) and (g(x) = x^2 - 5) ((f circ g)(2) =)

Explanation:

Step1: Calculate g(2)

Substitute $x=2$ into $g(x)$:
$g(2) = 2^2 - 5 = 4 - 5 = -1$

Step2: Calculate f(g(2))

Substitute $g(2)=-1$ into $f(x)$:
$f(-1) = (-1)^3 + (-1)^2 = -1 + 1 = 0$

Answer:

0