Question

A rectangle has a length represented by the function f(x)=x
and a width represented by the function g(x)=x+3
where both functions are in feet.

Calculate (f⋅g)(x)
and state what it represents.

(1 point)

A) (f⋅g)(x)=4x+6
; It represents the perimeter of the rectangle in feet.


B) (f⋅g)(x)=x2+3x
; It represents the perimeter of the rectangle in feet.

C) (f⋅g)(x)=x2+3x
; It represents the area of the rectangle in square feet.

D) (f⋅g)(x)=4x+6
; It represents the area of the rectangle in square feet.

Answer 1

C) (f⋅g)(x) = x^2 + 3x; It represents the area of the rectangle in square feet.

Reason: (f⋅g)(x) = x(x+3) = x^2+3x, and length × width gives area (ft^2).