Question

prove that x/e^x + x/2 = x(e^x+1)/2(e^x-1)

Answer 1

* x/e^x +1 +X/2

Answer 2

x/(e^x+1) +x/2

Answer 3

Is the problem
\[\frac{x}{e^x+1}+\frac{x}{2}\]?

Answer 4

yes

Answer 5

you can put them over a common denominator and add
\[\frac{2x}{2(e^x+1)}+\frac{x(e^x+1)}{2(e^x+1)} \]

Answer 6

If you do, you will see that you get
\[\frac{x}{2}\frac{e^x+3}{e^x+1}\]

Answer 7

i figured it out thank you tho

Answer 8

How? because the answer does not match your question x(e^x+1)/2(e^x-1)

Answer 9

it should be x(e^x-1)
i accidentally typed it wrong

Answer 10

OK, that makes sense. Just wondering.