Question

Which of the following expressions is the inverse of the function y = 3x + 4?

y = 3x − 4 y = −3x − 4 y equals quantity x minus 4 divided by 3 y equals quantity x plus 4 divided by 3

Answer 1

The inverse of the function y = 3x + 4 is y = (x - 4) / 3.

Step-by-step explanation:

The inverse of a function is a different function that, when applied to the output of the original function, gives back the original input. In simpler terms, if you have a function that relates input values to output values, the inverse function does the opposite, mapping the output values back to the original input values.

The inverse of the function y = 3x + 4 is y = (x - 4) / 3.

To find the inverse of a function, we need to swap the x and y variables and solve for the new y.

Step 1: Replace y with x and x with y: x = 3y + 4.

Step 2: Solve for y: x - 4 = 3y.

Step 3: Divide both sides by 3: (x - 4) / 3 = y.

Therefore, the inverse of the function y = 3x + 4 is y = (x - 4) / 3.

Answer 2

So here are the steps to finding the inverse of a function:

1. Switch the positions of x and y
2. Solve for y.

So firstly, let's apply the first step:
`x=3y+4`

Next, let's solve for y. Subtract 4 on both sides of the equation:
`x-4=3y`

Next, divide both sides by 3 and your answer will be
`(x-4)/(3)=y`