Question

Let f(x)=x^3 and g(x)= √x, and h(x)=x/3. Find each of the following: f(g(h(6)))

Answer 1

Answer:

go from inside out.

h(x)=x/3

$(\sqrt{2})^{3}$=> h(6) = 6/3 = 2

g(x) = $\sqrt{x}$

=> g(h(6)) = g(2) = $\sqrt{2}$

f(x) = $x^{3}$

=> f(g(h(6))) = f($\sqrt{2}$ ) = $(\sqrt{2} )^{3}$