How do you find the domain and range of #f(x) = sqrt(x+6) /( 6+x)#?
Domain :
Range: At this point, both the denominator and the numerator are always positive.
By signing up, you agree to our Terms of Service and Privacy Policy
To find the domain and range of ( f(x) = \frac{\sqrt{x+6}}{6+x} ):

Domain: Set the denominator ( 6+x ) not equal to zero and find the values of ( x ) that satisfy this condition. The domain is all real numbers except ( x = 6 ).

Range: Analyze the behavior of the function as ( x ) approaches positive and negative infinity. Since the function is a rational function with a square root, the range is all real numbers greater than or equal to zero.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7