Question

Determine the Domain of the relation {(x, y): y = x/x-8}

Answer 1

Answer:

Domain: (-∞ , 8) ∪ (8, +∞)

Step-by-step explanation:

Since denominator is x - 8 so x ≠ 8

If x = 8 then y = 8/0  : undefined.

Hence, the domain is all real numbers except  8

So

Domain: (-∞ , 8) ∪ (8, +∞)

Answer 2

Answer:

The correct answer is A) x does not equal 8

Step-by-step explanation:

In order to find gaps in the domain, we look for two things. The first we look for is negatives under square roots (which are not an issue here since there are none) and then we look for 0, denominators. So to find the gap, we set the denominator equal to 0 and see what the x value cannot be.

x - 8 = 0

x = 8