For f(x) = 2x+1 and g(x) = 3x-7, find (f-g)(x)

(f - g)(x) = -x + 8

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 1

g(x) = 3x - 7

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

Step 2: Simplify

Set up:                              (f - g)(x) = (2x + 1) - (3x - 7)Distribute -1:                     (f - g)(x) = 2x + 1 - 3x + 7Combine like terms:        (f - g)(x) = -x + 8

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ;

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

d). Even and odd

Explanation:
2x^3 = even
Since any number times 2 will be even
3x^2 = even/odd

Let’s assume x = 2
Then 3(2)^2 = 3 x 4 = 12 = even

Assume x = 3

3(3)^2 = 3 x 9 = 27 = odd

Now we know our equation has:

even + even/odd = even and odd

Ex: 2 + 2 = 4 = even
Ex: 2 + 3 = 5 = odd
So our equation can be equal to either even and odd