Question

halp function problems are killing me

Answer 1

so I think it'd be cubed root x+2 over cubed root x+3 but I have no idea how to do that

Answer 2

\(h(x) = f(~g(x)~) = \sqrt[3]{g(x) + 2}\)

So what g have to be for f( g(x) ) to be \(\sqrt[3]{x+3}\)?

Answer 3

\(\large \begin{array}{llll}
f(x)=\sqrt[3]{x+2}\qquad {\color{brown}{ g(x)}}\\
\hline\\
f(\quad {\color{brown}{ g(x)}}\quad )=\sqrt[3]{x+3}\qquad and
\\ \quad \\
f(\quad {\color{brown}{ g(x)}}\quad )=\sqrt[3]{{\color{brown}{ g(x)}}+2}
\end{array}\qquad thus \sqrt[3]{x+3} = \sqrt[3]{{\color{brown}{ g(x)}}+2}\)

any ideas?

Answer 4

g(x)= x+1?

Answer 5

yeap

Answer 6

thanks guys!

Answer 7

yw