If f(x,y) is a homogeneous function of degree zero in x and y, then f(x,y) is a function of____alone.
- y^2/x
- y/x^2
- y/x
- xy
Explanation
If f(x,y) is a homogeneous function of degree zero in x and y, then it satisfies the property: f(ax,ay) = f(x,y)
for any non-zero constant a.
Since the degree is zero, we can write:
f(x,y) = f(1, y/x)
This shows that f(x,y) is a function of y/x alone.
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