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.
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.