Question

If f(x) = 3x²+2 and g(x)=x²-9, find (f- g)(x).

A. 2x² -7
B. 2x² +11
C. 4x² +11
D. 4x²-7

Answer 1

Subtracting g(x) from f(x), we have (f - g)(x) = (3x² + 2) - (x² - 9) which simplifies to 2x² + 11. Option B is the correct answer. Therefore correct option is B

Step-by-step explanation:

To find (f - g)(x), you need to subtract the function g(x) from f(x). This means you will calculate f(x) - g(x).

The functions given are f(x) = 3x² + 2 and g(x) = x² - 9. Subtracting these, we get:

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

= (3x² + 2) - (x² - 9)

= 3x² + 2 - x² + 9

Combine like terms:

= (3x² - x²) + (2 + 9)

= 2x² + 11

So, the result is 2x² + 11, which matches option B.