8
lesson pretestMultiple Choice

Pretest

Question 8 • Math 3

If c times x is equal to the fraction with numerator 5 and denominator x minus 2 and d times x is equal to x plus 3 , what is the domain of c d times x ?

Answer
A
all real values of x
B
all real values of x except x is equal to 2
C
all real values of x except x is equal to 2 and x is equal to negative 3
D
all real values of x except x is equal to negative 3

Explanation

The product is c(x)d(x) = [5/(x − 2)](x + 3). Its domain excludes any x that makes a denominator zero. The only denominator is x − 2, which is zero at x = 2; x = −3 makes the product zero, not undefined. Therefore, the domain is all real values except x = 2, choice B.

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