anonymous
  • anonymous
Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work
Mathematics
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anonymous
  • anonymous
Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Substitute all x of f(x) to 2x^2+5.
anonymous
  • anonymous
|dw:1438121254032:dw|
anonymous
  • anonymous
You there?

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anonymous
  • anonymous
Did you understand it or do you need more help?
anonymous
  • anonymous
yea im here
anonymous
  • anonymous
i probably need more help. im having a lot of trouble with this stuff
anonymous
  • anonymous
Okay so can you tell me the function now after you substitute x as g(x)?
anonymous
  • anonymous
Just make all x as 2x^2+5, then combine like terms.
anonymous
  • anonymous
oh okay, is that all?
anonymous
  • anonymous
Yes. Could you press the "draw" button and try to show me the function?
anonymous
  • anonymous
f(x)= (2x^2)^2 + 2x^2 +5 +2
anonymous
  • anonymous
like so?
anonymous
  • anonymous
Is this your function? |dw:1438121804638:dw|
anonymous
  • anonymous
yup
anonymous
  • anonymous
I think you forget something. :) What is g(x) again?
anonymous
  • anonymous
forgot*
anonymous
  • anonymous
oh i see my error. let me try again
anonymous
  • anonymous
Go ahead.
anonymous
  • anonymous
|dw:1438122029529:dw|
anonymous
  • anonymous
i forgot the +5
anonymous
  • anonymous
Yes. :) Now solve it.
anonymous
  • anonymous
Start with this. |dw:1438122119288:dw|
anonymous
  • anonymous
Are you having any difficulty so far?
anonymous
  • anonymous
|dw:1438122304749:dw|
anonymous
  • anonymous
There's something missing. Try the FOIL method.|dw:1438122345260:dw|
anonymous
  • anonymous
is it 4x^4 + 20x^2+25
anonymous
  • anonymous
Great! So the function is now |dw:1438122528248:dw|
anonymous
  • anonymous
Combine like terms.
anonymous
  • anonymous
4x^4 + 14x^2 + 32
anonymous
  • anonymous
There's no subtraction in the function.
anonymous
  • anonymous
|dw:1438122865261:dw|