# Which of the following is the Inverse of y = 3x?

# a) f^{-1}(x) = 1/3x b) f^{-1}(x) = 3x c) f^{-1}(x) = 3/x d) f^{-1}(x) = x/3

We will be using the concept of inverse function to solve this.

## Answer: The Inverse of y = 3x is f^{-1}(x) = 1/3x.

Let's solve this step by step.

**Explanation: **

Given that, y = 3x

Let f(x) = y = 3x

Switch x and y

x = 3y

Express y in terms of x.

y = 1/3 x

From the definition of inverse function. f(x) = y ⇒ x = f^{-1}(y)

⇒ f^{-1}(y) = 1/3x

### Thus, the inverse of y = 3x is f^{-1}(x) = 1/3x.

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