Practice problem
Given f(x)=1x−4 , g(x)=2x+4f(x)=\dfrac{1}{x-4}\:,\:g(x)=\dfrac{2}{x}+4f(x)=x−41,g(x)=x2+4, find f(g(x))f(g(x))f(g(x)) and g(f(x))g(f(x))g(f(x))
f(g(x))=2xf(g(x))= \dfrac{2}{x}f(g(x))=x2
f(g(x))=2x−8f(g(x))= \dfrac2{x-8}f(g(x))=x−82
f(g(x))=x2f(g(x))= \dfrac x2f(g(x))=2x
g(f(x))=2x−4g(f(x))= 2x-4g(f(x))=2x−4
g(f(x))=2x+12g(f(x))= 2x+12g(f(x))=2x+12
g(f(x))=2x−12g(f(x))= 2x-12g(f(x))=2x−12
Type a concept, like “slope” or “photosynthesis”.