If f(x) = 3x - 2 and g(x) = 2x + 1, find (f-g)(x) a. 5x - 1 b. 3 - x c. x - 3 d. 5x - 3

(f - g)(x) means f(x) - g(x)

So, you just input the function of f(x) and g(x) altogether, then simplify it.
(f - g)(x) 
= f(x) - g(x)
= 3x - 2 - (2x + 1)
= 3x - 2 - 2x - 1
= x - 3

The answer is c

Hey there.

When subtracting monomials, it's imperative that you subtract the proper terms. You cannot subtract or add a number from a variable, and you cannot do the same the other way around (unless you are multiplying).

Here's an example;
(2x + 1) + (3x + 3);
Add our variables.
2x + 3x = 5x
Add our numbers.
1 + 3 = 4.
Our final expression is 5x + 4.

Let's apply this knowledge to our current function.

f = 3x - 2
g = 2x + 1

f - g;
(3x - 2) - (2x + 1)
Remember to flip all signs of the variables and numbers to the right of the subtraction sign.
(3x - 2) - 2x - 1;
3x - 2x = x
-2 -1 = -3

We are left with x - 3.

Your answer is C.) 

I hope this helps!

Idon’t know this and this isn’t middle school work

Do the math. she originally had 50 dollars on her gift card and she had 12 dollars left on her gift card after she finished her shopping spree. if you subtract 50 minus 12 you get thirty eight dollars as your answer. so therefore, ciara spent 38 dollars total o