Practice problem
Find functions f(x)f(x)f(x) and g(x)g(x)g(x) such that f(g(x))=4(x+2)2.f(g(x))=\dfrac{4}{(x+2)^2}.f(g(x))=(x+2)24.
f(x)=4x2f(x)= \dfrac{4}{x^2}f(x)=x24
f(x)=4f(x)=4f(x)=4
f(x)=4xf(x)= \dfrac{4}{x}f(x)=x4
g(x)=x+2g(x)= x+2g(x)=x+2
g(x)=1x+2g(x)= \dfrac1{x+2}g(x)=x+21
g(x)=x2g(x)=x^2g(x)=x2
Type a concept, like “slope” or “photosynthesis”.