How do you find the inverse of $g(x)= 2x-4$ ?

Question

6141 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-02T20:38:23

Let $y = g(x)$ and solve for $x$ to find:

$g^(-1)(y) = (y+4)/2$

Let $y = g(x) = 2x - 4$

Add $4$ to both ends to get:

$y+4 = 2x$

Divide both sides by $2$ to get:

$(y+4)/2 = x$

So for any $y$ we can find a value of $x$ such that $g(x) = y$ .

That is:

$g^(-1)(y) = (y+4)/2$

How do you find the inverse of g(x)= 2x-4g(x)= 2x-4?