How do you find the domain and range of #g(x)=3 sqrt(x+4)#?

Answer 1

Domain: # x >= -4 or x| [-4,oo)#
Range: #g(x) >=0 or g(x)| [0,oo)#

#g(x)=3sqrt(x+4)# . For domain , under root is undefined for

any negative number, such as x >= -4 or x + 4 >= 0.

Domain: # x >= -4 or x| [-4,oo)#
Range has no negative value , Range: #g(x) >=0 or g(x)| [0,oo)#

graph{3*(x+4)^0.5 [-20, 20, 20, 40, -20]} [Ans]

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the domain of g(x) = 3√(x + 4), set the expression inside the square root to be greater than or equal to zero, since the square root of a negative number is not real. Solve x + 4 ≥ 0 to find the domain. The range of g(x) is all real numbers greater than or equal to zero because the square root of any non-negative number is real.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided 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 one-sided 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 one-sided 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 one-sided 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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7