Question

Can someone please help me with this problem. I need to simplify this complex rational expression and find the restrictions for X

4+1/x divided by 16-1/xsquared

Thank you

Answer 1

x better not be zero
do you have
(4 + 1/x) / (16 - 1/x^2 ) ????????
if so multiply top and bottom by x^2
(4 x^2 - x) / (16 x^2 - 1)
or
x (4x-1) / [ (4x-1)(4x+1) ]
which is x/(4x+1)

Answer 2

then x also better not be -1/4

Answer 3

also fix the typo moving from
4 + 1/x
to
4x^2 - x

and then proceed to the correct solution...