Question

If f(x)=3x+1 and g(x)=x^2-6 find (f-g)(x)

Answer 1

Hi there!

• f(x) = 3x + 1
• g(x) = x² - 6

Then,
According to th' question :-

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

= 3x + 1 - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

Hence,
Option 2ⁿᵈ : -x² + 3x + 7 is Correct.

~ Hope it helps!

Answer 2

Answer:

Option B. -x² + 3x + 7

Step-by-step explanation:

The given functions are f(x) = 3x + 1 and g(x) = x² - 6

we have to find the value of (f - g)(x)

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

By replacing the values of f(x) and g(x) in the equation.

f(x) - g(x) = (3x + 1) - (x² - 6)

              = 3x + 1 - x² + 6

              = 3x + 7 - x²

              = -x² + 3x + 7

Therefore, option B. f(x) - g(x) = -x² + 3x + 7 is the correct option.