SOLUTION: I am not understanding these Adavanced Functions and could use some help please. f(x)=-3x-3 and g(x)=x^2+2x find (f-g)(2)

Algebra.Com
Question 533206: I am not understanding these Adavanced Functions and could use some help please.
f(x)=-3x-3 and g(x)=x^2+2x find (f-g)(2)

Found 2 solutions by stanbon, KMST:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I am not understanding these Adavanced Functions and could use some help please.
f(x)=-3x-3 and g(x)=x^2+2x find
(f-g)(2) = f(2)-g(2)
= [-3*2-3]-[2^2+2*2]
= -9-0
= -9
========================
Cheers,
Stan H.
===========

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
(f-g)(x)=f(x)-g(x) for all x.
For x=2 (f-g)(2)=f(2)-g(2)
You have 2 options to solve your problem:
Option 1 _ You can first work with the x in the functions as they are written to generate the general expression for (f-g)(x), and substitute x=2 later.
Option 2 _ You can calculate f(2) and g(2) first and then do the subtraction with the two numbers.
All that's said above works similarly for (f+g), (fxg) and (f/g)
Sometimes one option is easier or more convenient than the other.
In your case:
Option 1






Option 2






RELATED QUESTIONS

It has been awhile since I had to work with functions and I have been attempting these... (answered by Tatiana_Stebko)
If f(x)=x+4 and g(x)=2x^2-x-1, find the composition (fog)(2) please I could use some... (answered by stanbon)
Please help me solve these functions, with work shown. Let f(x)=x+4 and g(x)=x^2+8x... (answered by josgarithmetic)
I don't understand functions, I really need help. 17.) Let f(x)= 5x and g(x)=-2x-3.... (answered by josgarithmetic)
Could use some help here, did I do this correctly. Thanks If f(x)=3x-1 and g(x)=2X-1 (answered by Earlsdon)
please help me find if these are functions or not -2x+4y=0 x to the second power +... (answered by MathLover1)
I have come up with several different answers and am really not sure what I am doing. I... (answered by stanbon,solver91311)
help f(x) = 3x - 5 g(x) = 6x2 + 2x Find: g(f(x)) f(x) = 2x + 3 g(x) = 5x2... (answered by lwsshak3)
Please solve, show work and simplify 1. f(x)=3x-2 g(x)=x2-3x Find: (fog)(x) - (answered by Flake)