Question

given that $h(x)=x^{3}$, find $(h \circ h)(-3).$
$(h \circ h)(-3)=\square$ (simplify your answer.)

Explanation:

Step1: Define composite function

$(h \circ h)(x) = h(h(x))$

Step2: Substitute $h(x)=x^3$ into $h$

$h(h(x)) = h(x^3) = (x^3)^3 = x^{9}$

Step3: Evaluate at $x=-3$

$(-3)^9 = -19683$

Answer:

$-19683$