Question

or the following functions, f and g, determine
(a) f(g(x)) (b) g(f(x))

If f(x) = 9 x^{3} - 2 x + 11 and g(x) = \sqrt[3]{x}, then

(a) f(g(x)) = ;

(b) g(f(x)) = .

Answer 1

\[f(x) = 9 x^{3} - 2 x + 11 , g(x) = \sqrt[3]{x}\]

Answer 2

\[f(g(x))=f(\sqrt[3]{x})\] is a start

Answer 3

then
\[f(g(x))=9\times \sqrt[3]{x}^3-2\sqrt[3]{x}+11\]
\[f(g(x))=9x-2\sqrt[3]{x}+11\]