## anonymous one year ago If f(x) = 2x2 + 3x and g(x) = x – 2, what is (f + g)(2)? a. 16 b. 14 c. 12 d. 10 e.8 helpp

1. jackellyn

Since it is asking f+g, you need to add the two expressions together. After simplifying, substitute the x for 2 for your final answer.

2. anonymous

its f(x)=2^2+3x and g(x)=x-2 what is (f+g)(2) so what i got it would equal 22

3. jackellyn

f+g=2x^2+3x+(x-2) Simplify, then substitute the x with 2.

4. anonymous

i got 21

5. UsukiDoll

the question is asking for (f+g)(2) so let's figure out the f(x) + g(x) portion first. so we have $f(x)= 2x^2 +3x$ and $g(x) = x-2$ so what is f(x)+g(x)

6. UsukiDoll

then after obtaining f(x)+g(x) we combine like terms finally evaluate f(x)+g(x) when x = 2

7. anonymous

kinda confused still lol sorry

8. UsukiDoll

let's take it one step at a time by first understanding that (f+g)(2) means that we need to find f+g and then evaluating the result of f+g when x = 2

9. anonymous

okay

10. UsukiDoll

so we just have to add because f(x) + g(x) means the f function + g function so given $f(x) = 2x^2+3x$ and $.g(x) = x-2$ what is f(x) +g(x) the notation I'm using is the same as f+g

11. anonymous

okay

12. UsukiDoll

place f(x) here + place g(x) here

13. UsukiDoll

it should look like $2x^2+3x+x-2$ now we combine like terms only for the x portion so what's 3x+x ?

14. anonymous

4x

15. UsukiDoll

$2x^2+4x-2$ ok so now we evaluate this function when x = 2. so place x =2 inside of the x of that function ex. $2(2)^2+4(2)-2$

16. Zale101

(f+g)(2)=f(2)+g(2)

17. anonymous

23?

18. UsukiDoll

no......

19. UsukiDoll

what's (2)^2 since we have second power it means to write 2 two times (2)^2 -> (2)(2) what's (2)(2)?

20. UsukiDoll

(2)(2) notation is the same as 2 x 2 notation

21. anonymous

i mean 14?

22. UsukiDoll

$2(2)^2+4(2)-2$ $2(4)+4(2)-2 \rightarrow 8+8-2 \rightarrow 16-2=14$

23. UsukiDoll

yes it's 14

24. anonymous

thx srry im very slow @learning

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