Question

If f(x) = (1/9)(9^), what is f(3)?

Answer 1

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

Explanation: