Question

16 Answer:

For what values of the variable x is the rational
expression undefined: 3/(x - 5)

17 Answer:
For what values of the variable x is the rational
expression undefined: 8/(x + 2)

Answer 1

16. The rational expression 3/(x-5) is undefined when x equals 5.

17. The rational expression 8/(x+2) is undefined when x equals -2.

Explanation:

16.

The rational expression 3/(x-5) is undefined when the denominator (x-5) is equal to zero, because division by zero is undefined. Therefore, we need to find the values of x that make the denominator zero.

To find those values, we can set the denominator equal to zero and solve for x:

x - 5 = 0

x = 5

Therefore, the rational expression 3/(x-5) is undefined when x equals 5.

17.

The rational expression 8/(x+2) is undefined when the denominator (x+2) is equal to zero, because division by zero is undefined. Therefore, we need to find the values of x that make the denominator zero.

To find those values, we can set the denominator equal to zero and solve for x:

x + 2 = 0

x = -2

Therefore, the rational expression 8/(x+2) is undefined when x equals -2.