Question

find all numbers that must be excluded from the domain of the following rational expression.

\\\frac{7}{x - 4}\\

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the number(s) must be excluded from the domain.
(use a comma to separate answers as needed.)

b. the rational expression is defined for all real numbers.

Explanation:

Identify the condition for domain exclusion

Using the Rational Functions knowledge point

$$ x - 4 = 0 $$

Solve for the excluded value

Using the Rational Functions knowledge point

$$ x = 4 $$

Answer:

• (A) The number(s) 4 must be excluded from the domain. (Correct answer)
• (B) The rational expression is defined for all real numbers.