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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.

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?

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)

F(-1/3x)

(|dw:1436663494341:dw|

so the answer is 5,4