Question

For f(x)=∛x+3 and g(x)=(x-2)³+4 find f(g(x)) and g(f(x)).

Answer 1

For f(g(x)) the answer is

`f((x-2)^(3) +4) = \sqrt[3]{x^(3) -6x^(2)+12x-1 }`

For g(f(x)) the answer is

`g(\sqrt[3]{x +3} = x-1-6\sqrt[3]{(x+3^(2) } + 12\sqrt[3]{x+3}`

You just need to set up the composition and evaluate.

Hope this helpsʕ•ᴥ•ʔ