Question

If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f+ g)(x).A. x2 + 8B. 3x2 - 6C. X2-6O D. 3x2 + 8

Answer 1

Option B is correct.

(f + g)(x) = 3x² - 6

Explanation

f(x) = 2x² + 1

g(x) = x² - 7

We are now told to evaluate (f + g)(x)

Note that (f + g)(x) represents the sum of the 2 functions f(x) and g(x)

Hence,

(f + g)(x) = f(x) + g(x)

= (2x² + 1) + (x² - 7)

= 2x² + 1 + x² - 7

= 2x² + x² + 1 - 7

= 3x² - 6

Option B is correct.

(f + g)(x) = 3x² - 6

Hope this Helps!!!