Practice problem
Find functions f(x)f(x)f(x) and g(x)g(x)g(x) such that f(g(x))=3x−5.f(g(x))=\dfrac{3}{x-5}.f(g(x))=x−53.
f(x)=x−5f(x)=x-5f(x)=x−5
f(x)=3xf(x)= \dfrac{3}{x}f(x)=x3
f(x)=1xf(x)= \dfrac{1}{x}f(x)=x1
g(x)=3x−5g(x)= \dfrac{3}{x-5}g(x)=x−53
g(x)=1x−5g(x)= \dfrac1{x-5}g(x)=x−51
g(x)=x−5g(x)=x-5g(x)=x−5
Type a concept, like “slope” or “photosynthesis”.
