Practice problem
Let fff and ggg be functions with inverses such that f(x)=3g(x).f(x) = 3g(x).f(x)=3g(x). Which of the following is true?
f−1(3g(x))=g−1(f(x))f^{-1}(3g(x)) = g^{-1}(f(x))f−1(3g(x))=g−1(f(x))
f−1(3g(x))=g−1(13f(x))f^{-1}(3g(x)) = g^{-1}\left(\frac{1}{3}f(x)\right)f−1(3g(x))=g−1(31f(x))
f−1(g(x))=g−1(f(x))f^{-1}(g(x)) = g^{-1}(f(x))f−1(g(x))=g−1(f(x))
f−1(3g(x))=g−1(3f(x))f^{-1}(3g(x)) = g^{-1}(3f(x))f−1(3g(x))=g−1(3f(x))
Type a concept, like “slope” or “photosynthesis”.
