Question

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

Answer 1

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)