GREhelp wrote:
Assume the function f(x) is defined as follows: f(x)=(x−4)2+√(x+3)+5x+2. For Which of the following values of x is f(x) defined?
Indicate all such values.
A. -5
B. -4
C. -3
D. -2
E. -1
The answer is C and E. I could only select one in the official answer choice box.
You should know two properties:
1. The square root from a negative number is not defined, thus x+3 must be more than or equal to 0:
x+3≥0 -->
x≥−3. Eliminate options A, and B.
2. Division by 0 is not allowed, thus x+2 cannot be 0, which means that x cannot be -2. Eliminate D.
Answers C and E.
Hope it's clear.