Hello.
I need to find the possible values of a and b when (f°g)(x)=(g°f)(x) if f(x)=x^2 and g(x)=ax+b.
I'm able to find the composite functions ( (f°g)(x)=(ax+b)^2 and (g°f)(x)=a(x^2)+b but I'm trully stumped on how to solve the equation...
Thanks in advance!
I need to find the possible values of a and b when (f°g)(x)=(g°f)(x) if f(x)=x^2 and g(x)=ax+b.
I'm able to find the composite functions ( (f°g)(x)=(ax+b)^2 and (g°f)(x)=a(x^2)+b but I'm trully stumped on how to solve the equation...
Thanks in advance!