Question

If h(x)=(fog)(x) and h(x)=^3√x+3, find g(x) if f(x)=^3√x+2.

Answer 1

Problem attached below. Please help and explain. Thank you to those who help!

Answer 2

\[h(x) = \sqrt[3]{x+3};f(x) = \sqrt[3]{x+2}\]
\[fog(x) = f(g(x)) = \sqrt[3]{g(x) +2}\]
\[f(g(x)) = \sqrt[3]{g(x) + 2} = h(x) = \sqrt[3]{x+3}\]
Cube both sides:
\[g(x) +2 =x + 3\]
\[g(x) = x + 3 - 2 = x +1\]
\[g(x) = x +1\]

Answer 3

im still confused but thank you.

Answer 4

Which part are you confused with?