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?
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) = [tex] - \mid x \mid[/tex] and G(x) = [tex] \sqrt{x}[/tex] 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.