Question

If f(x)=4x + 3 find f^-1(x)

Answer 1

y = (1/4)(x - 3) is the desired inverse function of f(x) = 4x + 3.

Explanation:

Here we're finding the 'inverse function' of the given f(x) = 4x + 3. Follow these steps:

1. Replace the label f(x) with y: y = 4x + 3

2. Interchange x and y: x = 4y + 3

3. Solve this new equation for y: 4y = x - 3, or y = (1/4)(x - 3

Answer 2

f^-1(x) = (x-3)/4

Explanation:

The notation f^-1(x) means that you are finding the inverse of the function f(x). To do this, you'll want to swap the "x" and the "y" in the original function, and then solve for y. Here's how:

First, we take the original function and swap the two variables:

y = 4x + 3

x = 4y + 3

Then we subtract 3 from both sides

x - 3 = 4y

Then to get y on its own, we divide both sides by 4.

y = (x-3)/4

Make sure to note that the whole expression x-3 is divided by 4, not just one part of it.

So your new inverse equation is:

f^-1(x) = (x-3)/4