Practice problem
Given f(x)=x+2 , g(x)=x2+3f(x)=\sqrt x+2\:,\:g(x)=x^2+3f(x)=x+2,g(x)=x2+3, find f(g(x))f(g(x))f(g(x)) and g(f(x))g(f(x))g(f(x))
f(g(x))=x+5f(g(x))= x+ \sqrt5f(g(x))=x+5
f(g(x))=x+3+2f(g(x))= x+ \sqrt3 +2f(g(x))=x+3+2
f(g(x))=x2+3+2f(g(x))= \sqrt{x^2+3}+2f(g(x))=x2+3+2
g(f(x))=x+2+7g(f(x))= x+\sqrt2+7g(f(x))=x+2+7
g(f(x))=x+4x+7g(f(x))= x+4\sqrt x+7g(f(x))=x+4x+7
g(f(x))=7+xg(f(x))= \sqrt7+xg(f(x))=7+x
Type a concept, like “slope” or “photosynthesis”.