Find all numbers for which the rational expression is undefined

Asked by admin @ 03/12/2021 in Mathematics viewed by 340 People

Find any real numbers for which the rational expression is undefined. x+8/x-3 select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Answered by admin @ 03/12/2021

Answer:

x = 3

Step-by-step explanation:

What you wrote, x + 8/x - 3 means $x + \dfrac{8}{x} - 3$ .

I assume you didn't mean that, but instead, you mean

$\dfrac{x + 8}{x - 3}$ , so I'll use this expression in the problem.

A fraction cannot have zero in the denominator since division by zero is undefined and not allowed. The denominator of the fraction is x - 3.

We need to find which value of x makes the expression x - 3 have a value of zero. Then that is the value of x that must be excluded from the domain.

We set the denominator equal to zero, and we solve for x.

x - 3 = 0

Add 3 to both sides.

x = 3

A value of 3 used for x makes the denominator equal zero, so the real number for which the expression is undefined is

x = 3.

Find all numbers for which the rational expression is undefined

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