Question

What is the inverse of the given relation y = 4x - 8

Answer 1

y=4/x+2 is the inverse of the relation

Answer 2

To find the inverse of any function, switch the x's with y's and vice versa.

The current equation given is
`y=4x-8`

Switch the
`y` with
`x` and switch the
`x` with
`y`

After doing so, we'll have the following equation:

`x=4y-8`

Now, let's move the variables around so that y is isolated on the left side again.

Subtract both sides by 4y

`x-4y=-8`

Subtract both sides by x

`-4y=-8-x`

Divide both sides by -4

`y= (x)/(4)+2`

That is the answer.

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