Determine the domain restrictions for the rational function below.

Question

y=6/x+5

A)x does not equal -5

B) x does not equal -6

C)x does not equal 6

D)x does not equal 5

Answer 1

In math, division by zero is undefined. So any value of x that makes the denominator equal to zero will make the rational function undefined. Those values of x will be excluded from the domain. So set the denominator equal to zero and solve for x:

x + 5 = 0

The value of x you get is the restriction; that is, x cannot equal that number.