anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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jackellyn
  • 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.
anonymous
  • 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
jackellyn
  • jackellyn
f+g=2x^2+3x+(x-2) Simplify, then substitute the x with 2.

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More answers

anonymous
  • anonymous
i got 21
UsukiDoll
  • 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)
UsukiDoll
  • UsukiDoll
then after obtaining f(x)+g(x) we combine like terms finally evaluate f(x)+g(x) when x = 2
anonymous
  • anonymous
kinda confused still lol sorry
UsukiDoll
  • 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
anonymous
  • anonymous
okay
UsukiDoll
  • 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
anonymous
  • anonymous
okay
UsukiDoll
  • UsukiDoll
place f(x) here + place g(x) here
UsukiDoll
  • 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 ?
anonymous
  • anonymous
4x
UsukiDoll
  • 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. \[2(2)^2+4(2)-2\]
Zale101
  • Zale101
(f+g)(2)=f(2)+g(2)
anonymous
  • anonymous
23?
UsukiDoll
  • UsukiDoll
no......
UsukiDoll
  • 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)?
UsukiDoll
  • UsukiDoll
(2)(2) notation is the same as 2 x 2 notation
anonymous
  • anonymous
i mean 14?
UsukiDoll
  • UsukiDoll
\[2(2)^2+4(2)-2 \] \[2(4)+4(2)-2 \rightarrow 8+8-2 \rightarrow 16-2=14\]
UsukiDoll
  • UsukiDoll
yes it's 14
anonymous
  • anonymous
thx srry im very slow @learning

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