Question

The inverse of g(x) = -1/x is

Answer 1

Inverse means switch the 'x' and the 'y'...and then solve for 'y' again

So here

\[\large y = \frac{-1}{x}\]

will become

\[\large x = \frac{-1}{y}\]

Now how would you solve for 'y' again?

*hint...don't over think it :D*

Answer 2

I don't know! Make y equal 1?

Answer 3

No...in order to solve for 'y' again...you just use algebra to rearrange this so y = something

\[\large x = \frac{-1}{y}\]

Multiply both sides by 'y'

\[\large x\times y = \frac{-1}{\cancel{y}}\times \cancel{y}\]

So we have

\[\large xy = -1\]

And now to solve for 'y' divide both sides by 'x'

\[\large \frac{\cancel{x}y}{\cancel{x}} = \frac{-1}{x}\]

Which leaves us with

\[\large y = \frac{-1}{x}\]

Showing us...that y = -1/x has no inverse!

Answer 4

1/x
-1/x
x
-x

so the answer is -1/x