Question

Please explain how to do this.
http://imgur.com/AiAdCPF

Answer 1

In other words this is what it is

\[\frac{ \frac{ 1 }{ x }+1 }{ x+1 }\]

Answer 2

x^-1 = 1/x , in the first term in the numerator

Answer 3

now what you can do is multiply the fraction by \[\frac{ x }{ x }\]

Answer 4

\[\frac{ \frac{ 1 }{ x }+1 }{ x+1 }*\frac{ x }{ x }\]

what does that give ya?

Answer 5

1 + x / (x^2) + x

Answer 6

@DanJS

Answer 7

yes, factor an x from the denominator, and cancel , done

Answer 8

The answer is \[\frac{ 1 }{ x }\] .

By factoring an x from the denominator, the answer would then be \[\frac{ 1 + x }{ x }\] which is wrong.

@DanJS

Answer 9

\[\frac{ 1 + x }{ x^2+x } = \frac{ x + 1 }{ x(x+1) } = \frac{ 1 }{ x }\]