+28 Suppose $f(x)$ is a function defined for all real $x$, and suppose $f$ is invertible (that is, $f^{-1}(x)$ exists for all $x$ in the range of $f$). If the graphs of $y=f(x^2)$ and $y=f(x^4)$ are drawn, at how many points do they intersect?
+1950 f(x) being invertible means that if f(x)=f(y) then x=yso we are looking for points where x2=x4
There are 3 such points.
We have x=0,1,−1
This means they intersect at 3 points.
I'm not sure if this is correct, though.
Thanks! :)
