Practice problem
Find functions f(x)f(x)f(x) and g(x)g(x)g(x) such that f(g(x))=3+x−2.f(g(x))=3+\sqrt{x-2}.f(g(x))=3+x−2.
f(x)=9(x−2)f(x)=\sqrt{9(x-2)}f(x)=9(x−2)
f(x)=3+xf(x)=3+xf(x)=3+x
f(x)=3+(x−2)f(x)=3+(x-2)f(x)=3+(x−2)
g(x)=xg(x)=\sqrt xg(x)=x
g(x)=x−2g(x)=\sqrt{x-2}g(x)=x−2
g(x)=9x−2g(x)=\sqrt{9x-2}g(x)=9x−2
Type a concept, like “slope” or “photosynthesis”.
