anonymous
  • anonymous
Given f(x) = x2 + 6x and g(x) = 3x2 + 12x, find (f – g)(x).
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
here is a simple breakdown: f(x)=(x^2 +6x) g(x)=(3x^2 +12x) (f-g)(x)= (f(x))-(g(x)) (f-g)(x)= (x^2 +6x)-(3x^2 +12x) can you get it from there?
anonymous
  • anonymous
combine like terms right?
johnweldon1993
  • johnweldon1993
Correct...

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anonymous
  • anonymous
4x^2+18x
anonymous
  • anonymous
oops wait
anonymous
  • anonymous
2x^2+6x?
johnweldon1993
  • johnweldon1993
Remember first you need to distribute that '-' sign...
anonymous
  • anonymous
oh so then it's 4x^2+13x the second part?
johnweldon1993
  • johnweldon1993
so you'll have x² - 3x² = ...? and 6x - 12x = ...?
anonymous
  • anonymous
Just as john said, that negative sign gets distributed, then it is just a matter of combining like terms.
johnweldon1993
  • johnweldon1993
So you have (x² +6x)-(3x² +12x) After distributing that '-' sign into the second parenthesis you have x² + 6x - 3x² - 12x Now combine those...
anonymous
  • anonymous
ohh okay 2x^2-6x then
johnweldon1993
  • johnweldon1993
missing 1 thing still... x² - 3x² = ...?
anonymous
  • anonymous
-2x^2 I mean
johnweldon1993
  • johnweldon1993
There we go...correct -2x² - 6x
anonymous
  • anonymous
thanks!
johnweldon1993
  • johnweldon1993
No problem!

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