Answer:
\(y=\dfrac{1}{3}x\)
Step-by-step explanation:
Given: \(y=3x\)
We need to find the inverse of given function.
If \(y=f(x)\) is a function then inverse [/tex] x=f^{-1}(x)[/tex]
Inverse function is symmetry about the line y=x
Step 1: switch x and y
\(x=3y\)
Step 2: solve for y
divide both sides by 3
\(y=\dfrac{1}{3}x\)
Inverse function: \(f^{-1}(x)=\dfrac{1}{3}x\)
Hence, The inverse function is \(y=\dfrac{1}{3}x\)
