Arectangular area of 2,000 square feet is to be fenced on three sides with fence costing $0.30 per foot and on the fourth side with fence costing $0.50 per foot. if x denotes the length of the fourth side and c = ƒ(x ) denotes the corresponding cost of the fence in cents. give the domain of the function

Domain of the function will be (0, ∞).

Step-by-step explanation:

A rectangular area is to be fenced on three sides with fence costing $0.30 and 4th side with the fence costing $0.50 per foot.

Let the length and width of the rectangle is x foot and y foot.

Therefore, area of the rectangular area = xy square feet.

xy = 2000

y =

Now cost of fencing 3 sides = (0.3)(x+2y) and cost of fencing the fourth side = 0.50x

Total cost of the fencing C = 0.3(x + 2y) + 0.5x

C = 0.3x + 0.6y + 0.5x

C = 0.8x + 0.6y

C = 0.8x + 0.6() [Since y = ]

f(x) = 0.8x + is the function

Since this function is not defined at x = 0

Domain of the function must be (-∞, 0) ∪ (0, ∞) but length of the fence can't be in the interval (-∞, 0).

Therefore, domain will be (0, ∞).

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step-by-step explanation:

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