Question

Find the inverse function of y = 3x

Answer 1

Explanation:

The given function is y = 3x.

To find its inverse, we start by swapping x and y in the equation to get:

x = 3y

Next, we solve this equation for y to isolate it:

y = x/3

Therefore, the inverse of y = 3x is y = x/3.

Answer 2

Explanation:

To find the inverse of the function y = 3x, we need to swap the positions of x and y and then solve for y.

Step 1: Swap the positions of x and y

x = 3y

Step 2: Solve for y

Divide both sides by 3

x/3 = y

So the inverse function of y = 3x is x/3.

We can also verify that this is the inverse function by plugging in x/3 for y in the original equation and confirming that we get x:

y = 3x

x/3 = 3x/3

x/3 = x

Therefore, the inverse function of y = 3x is x/3.