The areas of two rectangles can be represented by the functions shown. Which function represents the difference in the areas, h(x) = f(x) – g(x)? h(x) = 4x2 – 4x – 11 h(x) = 4x2 – 4x + 11 h(x) = –4x2 + 4x + 11 h(x) = 4x2 – 4x – 9

Step-by-step explanation:

Let the area of the two triangles be expressed as;

f(x)= 4x^2+6x

g(x)=3x^2-x

Taking the difference

h(x) = f(x) - g(x)

h(x) = 4x ^2+6x - 3x^2-x

Collect like terms'

h(x) = 4x ^2 - 3x^2+6x-x

h(x) = x ^2 + 5x

Hence the difference is  x^2 + 5x

Note that the functions were assumed. The same methos can be applied to any other given functions.

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