Questions: What is the inverse function of f(x) = x/3 - 5? (Use g(x) to represent the inverse function)

Solution Steps

Start by writing the function \( f(x) \) in terms of \( y \): \[ y = \frac{x}{3} - 5 \]

To find the inverse function, swap \( x \) and \( y \): \[ x = \frac{y}{3} - 5 \]

Now, solve for \( y \): \[ x = \frac{y}{3} - 5 \] Add 5 to both sides: \[ x + 5 = \frac{y}{3} \] Multiply both sides by 3: \[ y = 3(x + 5) \]

Final Answer