Question

Answer 1

a. \(\left[{}\begin{matrix}\left\{{}\begin{matrix}f\left(1\right):y=\dfrac{1}{3}\cdot1=\dfrac{1}{2}\\f\left(-1\right):y=\dfrac{1}{3}\cdot-1=-\dfrac{1}{3}\\f\left(3\right):y=\dfrac{1}{3}\cdot3=1\\f\left(6\right):y=\dfrac{1}{3}\cdot6=2\end{matrix}\right.\\\left\{{}\begin{matrix}g\left(1\right):y=3\cdot1=3\\g\left(-1\right):y=3\cdot-1=-3\\g\left(3\right):y=3\cdot3=9\\g\left(6\right):y=3\cdot6=18\end{matrix}\right.\end{matrix}\right.\)

b. \(f\left(x\right)=5\Leftrightarrow5=\dfrac{1}{3}x\Rightarrow x=15\)

\(g\left(x\right)=-15\Leftrightarrow-15=3x\Rightarrow x=-5\)