# If P(x)=Q(R(x)) and $P(x)=(\log_3 x)^2$ what is R(x)?

The full problem is here. I am seriously lost on how I should approach this question. Thanks in advance.

• Well if $R(x) = \log_3 x$ and $Q(x) = x^2$ then $P(x)=Q(R(x)) = (\log_3 x)^2$ is one possible choice. But the question is badly worded. There are many many more possibilities. Example if $R(x) = x$ and $Q(x) =(\log_3x)^2$. But viewing it as $R(x) = \log_3 x$ and $Q(x) = x^2$ and $P(x) = Q(R(x))$ will give us insight by considering the domains and ranges of $Q$ and $R$ and seeing how they combine. – fleablood Feb 11 at 4:36
• thank you so much! I understand how the question works now – BLoby Blob Feb 11 at 4:42
• Think, composite function. – Erock Brox Feb 11 at 5:47