Practice problem
Given f(x)=x2+1 , g(x)=x+2f(x)=x^2+1\:,\:g(x)=\sqrt{x+2}f(x)=x2+1,g(x)=x+2, 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+5f(g(x))=x+5
f(g(x))=x+3f(g(x))= x+3f(g(x))=x+3
f(g(x))=x2+4x+5f(g(x))= x^2+4x+5f(g(x))=x2+4x+5
g(f(x))=x2+3g(f(x))= \sqrt{x^2+3}g(f(x))=x2+3
g(f(x))=x+9g(f(x))= x+9g(f(x))=x+9
g(f(x))=x+3g(f(x))= x+\sqrt{3}g(f(x))=x+3
Type a concept, like “slope” or “photosynthesis”.