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The area of the two rectangles is given by the functions:

Area of Rectangle A: f(x) = 4x2 + 6x

Area of Rectangle B: g(x) = 3x2 – x

Which function represents the difference, h(x) = f(x) – g(x), in the areas of the rectangles shown?

h(x) = 7x2 – 5x
h(x) = x2 – 7x
h(x) = x2 + 5x
h(x) = x2 + 7x

Respuesta :

The function represents the difference h(x) is x^2+7x.

You know that the area of Rectangle A is given by

[tex]f(x) = 4x^2 + 6x[/tex]

And the area of Rectangle B is given by

[tex]g(x) = 3x^2 - x[/tex]

Therefore, to find the function representing the difference, you need to subtract the functions f(x) and g(x).

What is the difference?

The way in which two things are being compared is not the same or the fact of not being the same.

Then, you get this function h(x)

[tex]h(x)=f(x)-g(x)\\h(x)=4x^2 + 6x-(3x^2 - x)\\h(x)=4x^2+6x-3x^2+x\\h(x)=x^2+7x[/tex]

Therefore the function represents the difference h(x) is x^2+7x.

To learn more about the function visit:

https://brainly.com/question/25638609

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