Finding functions f(x) and g(x)

[bandlover24]

I don't know how to even begin this problem so I don't have any work to show. I know how to do (f o g) problems but not when they are set up like this. My problem is this: Find 2 functions f(x) and g(x) such that (f o g)= h(x); h(x)=x^2-5

 

[rbcc]

If my memory serves me correctly, in general you have some function g(x)=3x and a function f(x)=x+3 then fog= (3x)+3

so in your case

(f(g(x))=h(x)=x^2-5

One answer could be

f(x)=x

and g(x)= x^2-5

you could come up with others as well but that's probably the simplest

Hope that helps!

 

[bandlover24]

thanks so much for your help! :grin: