Question

Find the inverse
g(x)=-4x+1

Answer 1

Here are the steps to find the inverse of an equation:

1. Change g(x) to y
2. Switch the positions of x and y
3. Solve for y
4. Change y to g^-1(x)

First, let's apply the first two steps:

`g(x)=-4x+1\\y=-4x+1\\x=-4y+1`

Next, let's solve for y. Firstly, subtract 1 on both sides of the equation:

`x-1=-4y`

Next, divide both sides by -4:

`(x-1)/(-4)=y`

Now that we have solved for y, apply the last step and your answer will be
`g^(-1)(x)=(x-1)/(-4)`