Which of the following is true about the function below 1x4

Which of the following is true about the function below? 1/x+4 A. Its domain is (-infinity, 0] and its range is (0, infinity) B. Its domain is (-4, infinity) and its range is (0, infinity) C. Its domain is (-4, infinity) and its range is(-infinity, infinity) D. Its domain is [-4, infinity) and its range is (infinity,0) (0,infinity)

Solution

1/(x + 4)

the function is defined only when the value under square root is > 0

the value under square root cannot be zero , since the the denominator becomes zero and function becomes undefined.

==> x + 4 > 0

==> x > -4

Hence domain is (-4 , )

Range is (0 , )