SOLUTION: If the point P is on the graph of a function f, find the corresponding point on the graph of the given function. P(4,9) y=1/3f(1/2x)-1

Algebra ->  Rational-functions -> SOLUTION: If the point P is on the graph of a function f, find the corresponding point on the graph of the given function. P(4,9) y=1/3f(1/2x)-1      Log On


   

Question 922083: If the point P is on the graph of a function f, find the corresponding point on the graph of the given function.
P(4,9) y=1/3f(1/2x)-1
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
P(4,9) y=expr%281%2F3%29f%28expr%281%2F2%29x%29-1
Since we know that P(4,9) is on the graph of y=f(x),
that means that f(4)=9

The equation above contains f%28expr%281%2F2%29x%29, 
and since we know that f(4)=9, then if 

expr%281%2F2%29x=4
then
x+=+8

Therefore substituting x=8 in the original equation,

y=expr%281%2F3%29f%28expr%281%2F2%29x%29-1
y=expr%281%2F3%29f%28expr%281%2F2%29%2A8%29-1
y=expr%281%2F3%29f%284%29-1
y=expr%281%2F3%29%289%29-1
y=3-1
y=2

So the corresponding point = (8,2)

Edwin