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Given f(xy) = f(x)/y and f(500) = 3, find f(600)

mathtopamela

New member
May 12, 2019
1
Help me understand the following problem:

Let f be a function satisfying f(xy) = f(x)/y for all positive real numbers x and y, and f(500) = 3.
What is f(600)?
 

kaliprasad

Well-known member
Mar 31, 2013
1,265
Bangalore india
Help me understand the following problem:

Let f be a function satisfying f(xy) = f(x)/y for all positive real numbers x and y, and f(500) = 3.
What is f(600)?
you are given f(500) = 3 or

x = 500, f(x) = 3

you need to calculate f(600) or xy = 600.

you can now calculate the value of y and then f(xy) or f(600)
 

HallsofIvy

Well-known member
MHB Math Helper
Jan 29, 2012
1,151
600= 500(6/5) so f(600)= f(500(6/5)). (x= 500, y= 6/5)