Practice problem
Given f(x)=x3 , g(x)=x2+3f(x)=\sqrt[3]x\:,\:g(x)=x^2+3f(x)=3x,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))=x2+33f(g(x))=\sqrt[3]{x^2+3}f(g(x))=3x2+3
f(g(x))=x2/3+33f(g(x))= x^{2/3}+\sqrt[3]{3}f(g(x))=x2/3+33
f(g(x))=x23+3f(g(x))= \sqrt[3]{x^2}+3f(g(x))=3x2+3
g(f(x))=x3/2+3g(f(x)) =x^{3/2}+3g(f(x))=x3/2+3
g(f(x))=x3+3g(f(x))= \sqrt[3]{x}+3g(f(x))=3x+3
g(f(x))=x2/3+3g(f(x))= x^{2/3}+3g(f(x))=x2/3+3
Type a concept, like “slope” or “photosynthesis”.