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