How can I find $f(x^2)$ of $f(x)$?
For example: I take the function $f(x)=a$ where a is an algebraic expression like $\sin x$, $3x^3$, etc.
Now, is it possible to find $f(x^2)$ of $f(x)=a$?
If it is possible how do you do that?
My try: If I assume $f(x)=\sin x$ then $f(x^2)=\sin(x^2)$ isn't it?