Question

Please Help!

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

Answer 1

B. h(x) = 4x² - 4x + 11

Explanation:

Given:

f(x) = 5x² - 2x + 1

g(x) = x² + 2x - 10

Required:

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

Solution:

h(x) = (5x² - 2x + 1) - (x² + 2x - 10)

= 5x² - 2x + 1 - x² - 2x + 10 (distributive property)

Collect like terms

= 5x² - x² - 2x - 2x + 1 + 10

h(x) = 4x² - 4x + 11