State any restrictions on the variable in the complex fraction, x-3/x+4/x^-1/x

Simplify the expression first by the "flip and multiply" method. We end up first with:

[x (x-3) ]/[x⁻¹ (x+4) ]

Simplifying further we have:

[x² (x-3) ] / (x+4)

Solving for restriction we equate the denominator to 0:

x + 4 = 0

x = - 4

x≠4 (-4 is a restriction of the expression)