Question

suppose f(x)=x-2 and g(x)=x²

find (fog) and (gof)​

Answer 1

$(f \circ g)(x)=f(g(x))=f(x^2)=x^2-2$

And

$(g\circ f)(x)=g(f(x))=g(x-2)=(x-2)^2=x^2-4x+4$