College Math CLEP Prep Practice Exam

What is the domain of the function y = 4/(x-3)?

1. All real numbers

2. {3, 4, 7}

3. All real numbers except 3

4. {4, 7, 10}

The correct answer is: All real numbers except 3

The domain of a function includes all possible input values. In this case, the denominator of the fraction cannot be zero, as division by zero is undefined. Therefore, the input value of x cannot equal 3. Option A is incorrect because it includes the input value of 3, which is not a valid input for this function. Option B and D are incorrect because they do not represent the entire domain of the function, as they only list a few specific numbers. The correct answer is C as it states that the domain includes all real numbers except for 3.