anonymous
  • anonymous
given that (5,4) is on the graph of f(x) find the corresponding point for the function f(-1/3x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[f \left(-\frac{ 1 }{ 3 } x\right)\]
anonymous
  • anonymous
please help I really do not understand this at all
zepdrix
  • zepdrix
If (5,4) is on the graph... then the function f(x) evaluated at x=5, will give us an output of 4.

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zepdrix
  • zepdrix
Meaning, f(5)=4
zepdrix
  • zepdrix
Hmmm what can we do with that :d Sec, trying to understand the question.
zepdrix
  • zepdrix
@campbell_st @peachpi
anonymous
  • anonymous
F(-1/3x) The -1/3 will multiply our x values by -3.. Does that make sense?
anonymous
  • anonymous
I think so, you multiply 5 and 4 by -3?
anonymous
  • anonymous
so to get (5.4) in this new equation you'd need.. F(-1/3x) x=-15 No your y does not change only how fast or slow it takes for the graph to reach that point
anonymous
  • anonymous
if it was 3f(-1/3x) then we would multiply our "y" 3 times and our x by -3
anonymous
  • anonymous
okay now I'm confused
zepdrix
  • zepdrix
oh is that what they wanted? Hmm wording was really confusing :U
anonymous
  • anonymous
All I know is I'm supposed to enter an ordered pair and x is supposed to stay the same
anonymous
  • anonymous
Suppose, F(x) = 3x F(5) = 3(5) F(5)= 15 (5,15)
anonymous
  • anonymous
Now we have F(-1/3x) what would be the corresponding point for the function
anonymous
  • anonymous
I'm not sure
anonymous
  • anonymous
so we know when x=5 then we have 15
anonymous
  • anonymous
f(-1/3x) = F(5) -1/3x =5 x=-15
anonymous
  • anonymous
so that's it?
anonymous
  • anonymous
so on our second equation we know if x is -15 we have f(5) = y
anonymous
  • anonymous
F(-1/3*-15) F(5) =4
anonymous
  • anonymous
makes sense?
anonymous
  • anonymous
its just your x changing not y
anonymous
  • anonymous
okay so 5 stays the same, what happens to y?
anonymous
  • anonymous
So we have a point (5,4)
anonymous
  • anonymous
5,4 is the original points given, I didn't even think it was possible that the answer would literally be in the question
anonymous
  • anonymous
this can be rewritten as f(5)= 4 F(x) we have this new equation which is the same general shape but it has f(-1/3)
anonymous
  • anonymous
F(-1/3x)
anonymous
  • anonymous
(|dw:1436663494341:dw|
anonymous
  • anonymous
so the answer is 5,4

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