Question

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

Answer 1

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

$y= \dfrac{x}{4}+2$

That is the answer.

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Answer 2

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