Question

17. Given the following two functions:

f(x) = 5x² - 2x + 7
g(x) = 2x² + 6x +3
Then, find the following:
f (x) - g(x)

A. 7x²-8x+4
B. 7x² + 4x + 10
C. 3x² + 4x + 10
D. 3x² - 8x +4

Answer 1

To find the difference between the two functions, we can subtract g(x) from f(x):

f(x) - g(x) = (5x² - 2x + 7) - (2x² + 6x + 3)

= 5x² - 2x + 7 - 2x² - 6x - 3

= 3x² - 8x + 4

Therefore, the difference between the two functions is f(x) - g(x) = 3x² - 8x + 4, which is answer D.

Explanation:

Answer 2

it's very simple D

if you throw -ve sign to g(x) sign will change

and do simple calculation