anonymous
  • anonymous
Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).
Mathematics
jamiebookeater
  • jamiebookeater
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lgbasallote
  • lgbasallote
first what is g(2)?
anonymous
  • anonymous
???
lgbasallote
  • lgbasallote
what do you mean "????"

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anonymous
  • anonymous
your question said what is g(2) that how the poblem was given
anonymous
  • anonymous
First you must find g(2) by putting into the equation for g(2). Then you would take the step as to put what g(2) = into the f(x) equation.
anonymous
  • anonymous
By putting 2 into the equation for g, excuse me. Its a multi-step equation.
anonymous
  • anonymous
When you see g(2), that means solve g(x) where x = 2. \[\Large g(x) = x^{2}-6x-7\] \[\Large g(2) = 2^{2}-(6*2)-7= ?\]
lgbasallote
  • lgbasallote
f(g(2) ) means you find g(2) then substitute that to x in f(g(2) )
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
Note: Alternatively you could solve it all at once (but that may confusing right off the bat): \[\Large f(g(2)) = (x^{2}-6x-7)+8 = x^{2}-6x+1\]
anonymous
  • anonymous
What did you get for g(2)?
anonymous
  • anonymous
-15
anonymous
  • anonymous
Correct. Since g(2)=-15, that means f(g(2)) = f(-15). \[\Large f(x) = x+8\] \[\Large f(-15) = -15+8 = ?\]
anonymous
  • anonymous
Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)). first find g(2) then once you find that plug that to f(x)

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