haleyelizabeth2017
  • haleyelizabeth2017
Given the graphs of the linear function, f(x), and the quadratic equation, g(x), evaluate: (f+g)(2) http://imgur.com/VDMd5lX
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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SolomonZelman
  • SolomonZelman
You probably know that \(\color{#000000 }{ \displaystyle (f+g)(x)=f(x)+g(x) }\) and therefore \(\large\color{#000000 }{ \displaystyle (f+g)(2)=f(2)+g(2) }\)
haleyelizabeth2017
  • haleyelizabeth2017
Yes :)
haleyelizabeth2017
  • haleyelizabeth2017
And I know f(x)=x right?

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SolomonZelman
  • SolomonZelman
Well, yes, but you don't really need that though
SolomonZelman
  • SolomonZelman
You can find the y-value that corresponds to f(2) and to g(2) on the picture/graph.
SolomonZelman
  • SolomonZelman
|dw:1450294142201:dw|
haleyelizabeth2017
  • haleyelizabeth2017
-4 and 2 actually...
SolomonZelman
  • SolomonZelman
|dw:1450294151696:dw|
haleyelizabeth2017
  • haleyelizabeth2017
So, do we just add those?
SolomonZelman
  • SolomonZelman
yes, you need (f+g)(2), which as I said is same as: f(2)+g(2)
SolomonZelman
  • SolomonZelman
So your final answer is?
haleyelizabeth2017
  • haleyelizabeth2017
okay, so it would be -2
SolomonZelman
  • SolomonZelman
Yup, -2 is the very final answer!
haleyelizabeth2017
  • haleyelizabeth2017
Thank you :)
SolomonZelman
  • SolomonZelman
good job
haleyelizabeth2017
  • haleyelizabeth2017
LOL you did all the work XD

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