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)
Responses

(f⋅g)(x)=x2+3x
; It represents the perimeter of the rectangle in feet.
open paren f times g close paren of x is equal to x squared plus 3 x ; It represents the perimeter of the rectangle in feet.

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

(f⋅g)(x)=x2+3x
; It represents the area of the rectangle in square feet.
open paren f times g close paren of x is equal to x squared plus 3 x ; It represents the area of the rectangle in square feet.

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

Answer 1

(f·g)(x) = x(x+3) = x^2 + 3x. It represents the area of the rectangle, in square feet (since area = length × width).