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denis23 [38]
3 years ago
7

The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be expressed by the equation y=xs

quared +4x. What is a resonable domain for this function?
Mathematics
2 answers:
Delicious77 [7]3 years ago
5 0
X>0 and y>0 therefore, (0,≈)
Firlakuza [10]3 years ago
3 0

Answer:

The domain of the function is D=x|x>0

Step-by-step explanation:

Given : The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be expressed by the equation y=x^2+4x

To find : What is a reasonable domain for this function?

Solution :

Domain is defined as the all possible set of values in which function is defined.

We have given the area,

y=x^2+4x

We know, Area will never be negative so the value of x is always positive.

So, y> 0

x^2+4x>0

x(x+4)> 0

i.e. Either x>0

or x+4> 0

x> -4 but x>0

So, The value of x is defined from 0 to infinity.

The domain of the function is D=x|x>0

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