given that (5,4) is on the graph of f(x) find the corresponding point for the function f(-1/3x)

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given that (5,4) is on the graph of f(x) find the corresponding point for the function f(-1/3x)

Mathematics
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\[f \left(-\frac{ 1 }{ 3 } x\right)\]
please help I really do not understand this at all
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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Meaning, f(5)=4
Hmmm what can we do with that :d Sec, trying to understand the question.
F(-1/3x) The -1/3 will multiply our x values by -3.. Does that make sense?
I think so, you multiply 5 and 4 by -3?
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
if it was 3f(-1/3x) then we would multiply our "y" 3 times and our x by -3
okay now I'm confused
oh is that what they wanted? Hmm wording was really confusing :U
All I know is I'm supposed to enter an ordered pair and x is supposed to stay the same
Suppose, F(x) = 3x F(5) = 3(5) F(5)= 15 (5,15)
Now we have F(-1/3x) what would be the corresponding point for the function
I'm not sure
so we know when x=5 then we have 15
f(-1/3x) = F(5) -1/3x =5 x=-15
so that's it?
so on our second equation we know if x is -15 we have f(5) = y
F(-1/3*-15) F(5) =4
makes sense?
its just your x changing not y
okay so 5 stays the same, what happens to y?
So we have a point (5,4)
5,4 is the original points given, I didn't even think it was possible that the answer would literally be in the question
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)
F(-1/3x)
(|dw:1436663494341:dw|
so the answer is 5,4

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