Question

F(x) = x² + 3x +5
g(x) = 3x - 10
Find (f - g)(x)

Answer 1

(f - g)(x) = x² + 15

Explanation:

Here, we should subtract the two functions.

f(x) = x² + 3x + 5

g(x) = 3x - 10

(f - g)(x) = (x² + 3x + 5) - (3x - 10)

Distribute the minus sign :

(f - g)(x) = x² + 3x + 5 -3x + 10

Combine the like terms:

(f - g)(x) = x² + 3x - 3x + 5 + 10

(f - g)(x) = x² + 15

Answer 2

Step 1:

Subtract g(x) from f(x):

(f - g)(x) = x² + 3x + 5 - (3x - 10)

Step 2:

Simplify the expression:

(f - g)(x) = x² + 6x - 5

Answer: (f - g)(x) = x² + 6x - 5

Explanation:

This is a difference of two polynomials. To find the difference, we must subtract g(x) from f(x). To do this, we start by subtracting 3x - 10 from x² + 3x + 5 to give us x² + 6x - 5.