SOLUTION: If y = f(x) and the point (9,2) is on the graph of f, find the equation of f and the y coordinate of the point whose x coordinate is 6 if y varies inversely as x.

Algebra ->  Rational-functions -> SOLUTION: If y = f(x) and the point (9,2) is on the graph of f, find the equation of f and the y coordinate of the point whose x coordinate is 6 if y varies inversely as x.      Log On


   

Question 414295: If y = f(x) and the point (9,2) is on the graph of f, find the equation of f and the y coordinate of the point whose x coordinate is 6 if y varies inversely as x.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+k%2A%281%2Fx%29
given:
(9,2) is on graph of f(x)
2+=+k%2A%281%2F9%29
k+=+18
f%28x%29+=+18%2A%281%2Fx%29
given:
(6,y)
f%286%29+=+18%2A%281%2F6%29
y+=3