Practice problem
Given f(x)=1x−6 , g(x)=7x+6f(x)=\dfrac{1}{x-6}\:,\:g(x)=\dfrac{7}{x}+6f(x)=x−61,g(x)=x7+6, find f(g(x))f(g(x))f(g(x)) and g(f(x))g(f(x))g(f(x))
f(g(x))=7xf(g(x))= \dfrac7xf(g(x))=x7
f(g(x))=x7f(g(x))= \dfrac{x}{7}f(g(x))=7x
f(g(x))=7x−16f(g(x))= \dfrac7{x-16}f(g(x))=x−167
g(f(x))=7xg(f(x))= 7xg(f(x))=7x
g(f(x))=7x−36g(f(x))= 7x-36g(f(x))=7x−36
g(f(x))=36g(f(x))= 36g(f(x))=36
Type a concept, like “slope” or “photosynthesis”.