Answer:
Given: f(x)=\dfrac{1}{9}(x-2)
We need to find the inverse of f(x).
Step 1: Set f(x) = y
y=\dfrac{1}{9}(x-2)
Step 2: Switch x and y
x=\dfrac{1}{9}(y-2)
Step 3: Solve for y, Isolate y
x=\dfrac{1}{9}(y-2)
Multiply by 9 both sides
9x=y-2
Add 2 both sides
9x+2=y
y=f^{-1}(x)
Hence, f^{-1}(x)=9x+2
Step-by-step explanation:
