# Solve this weird f(g(x)) and g(f(x))

by Euphoriet
Tags: solve, weird
 P: 97 Can you solve such a thing as: f(g(x)) and g(f(x)) Let f(x) = sqr (4-x) D=x < or = to 4 right? and also Let g(x) = sqr(x-3) D = x > or = to 3 Can you solve such a thing.. if so how.. if not why not?
 P: 97 nvm i got it now.. the answer is yest
 P: 270 the composition of functions F(G(x)) can be done like this: find G(x) in terms of x, then pretend your result is like 'x' and plug it into F(x) . ultimately the domain and range of your function will change since the new function F(G(x)) will be a totally new function, there may be cases when it is impossible to find F(G(x)). for example, of F(x) = $$- \mid x \mid$$ and G(x) = $$\sqrt{x}$$ in that case you would always have the square root of a negative number, but i dont think that is the case in your question.

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