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MathematicsMathematics
26 October, 15:41

The length of a rectangle is 5 in. more than 3 times its width. The quadratic function f (x) = x (3x + 5) represents the area of the rectangle in terms of its width. What is a reasonable domain of the function?

A) real numbers

B) all real numbers less than 50

C) all real numbers less than zero

D) all real numbers greater than zero

+5
Answers (1)
  1. 26 October, 16:05
    0
    F (x) = x (3x+5)

    or

    f (x) = 3x²+5x

    Here the domain in general is: - ∞
    But the length of the rectangle cannot be negative, therefore the domain is all real numbers greater than zero.

    Option D is correct.
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