Question

For f(x) = 2x + 1 and g(x) = x2 - 7, find (f - g)(x).

O A. - x2 + 2x + 8
B. - x2 + 2x-6
O c. x2 - 2x - 8
O D. 2x2 – 15

Answer 1

Option A

- x² + 2x - 6

Explanation:

Here,

f(x) = 2x + 1

g(x) = x² - 7

Now,

(f - g)(x)

= f(x) - g(x)

= 2x + 1 - x² - 7

= 2x - x² - 7 + 1

= 2x - x² - 6

= - x² + 2x - 6

Thus, (f - g)(x) = - x² + 2x - 6

-TheUnknownScientist