Practice problem
Find functions f(x)f(x)f(x) and g(x)g(x)g(x) such that f(g(x))=4+x3.f(g(x))=4+\sqrt[3]{x}.f(g(x))=4+3x.
f(x)=x3f(x)=\sqrt[3]{x}f(x)=3x
f(x)=4+xf(x)=4+\sqrt xf(x)=4+x
f(x)=4+xf(x)=4+xf(x)=4+x
g(x)=x3g(x)=\sqrt[3]xg(x)=3x
g(x)=4+(x)g(x)=4+(x)g(x)=4+(x)
g(x)=64+x3g(x)=\sqrt[3]{64+x}g(x)=364+x
Type a concept, like “slope” or “photosynthesis”.