How do you find the domain and range of # y= sqrt (x+4)/x#?

1 Answer
Dec 24, 2016

Answer:

Domain is any real value with # x >= -4 and x != 0#
Range is any real value except #0#.

Explanation:

#y =sqrt (x+4)/x#. for finding domain under root should not be less than zero and denominator should not be zero.
Domain: # (x+4) >= 0 or x >= -4 and x != 0#

Domain (value of x) is any real value with # x >= -4 and x != 0#
Range (value of y) is any real value except #0#. graph{(x+4)^0.5/x [-10, 10, -5, 5]}