Math question (inverses).. SO easy

<p>This will be SO easy to anyone who knows how to do it.</p>

<p>what is the inverse of g(x)= 2 / (x+5)</p>

<p>x=2/y+5
xy+5x=2
2-5x=xy
y=(2-5x)/x?</p>

<p>wrong.</p>

<p>y= (2/x)-5</p>

<p>thats what i thought but there has to be some kind of fraction in the answer.. i got it wrong on the test</p>

<p>lol... its
y=(x+5)/2
inverse is just the reciprocal</p>

<p>ohh alright.. how did you do it? (band)</p>

<p>
[quote]
lol... its
y=(x+5)/2
inverse is just the reciprocal

[/quote]
</p>

<p>Wrong. Inverses of functions are different.</p>

<p>No need to distribute:</p>

<p>y = 2 / (x+5)
x = 2 / (y+5)
x(y+5) = 2
y+5 = 2/x
y = (2/x)-5</p>

<p>thanks (10chars)</p>

<p>Beefs' answer isn't wrong, y=(2-5x)/x equals y = (2/x)-5</p>