If f:0, ∞→0, ∞ satisfy fxfy=x2yaa∈R , then the number of solutions of fx=x3 is

Put fy=1x f1=1fy2× ya and put y=1∴f1=1 Now put y = 1 in the given equation

If f:0, ∞→0, ∞ satisfy fxfy=x2yaa∈R , then the number of solutions of fx=x3 is

Put fy=1x f1=1fy2× ya and put y=1∴f1=1 Now put y = 1 in the given equation

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If $f : (0, \infty) \to (0, \infty) s a t i s f y f (x f (y)) = x^{2} y^{a} (a \in R)$ , then the number of solutions of $f (x) = x^{3}$ is

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$P u t f (y) = \frac{1}{x} f (1) = \frac{1}{f {(y)}^{2}} \times y^{a} a n d p u t y = 1 ∴ f (1) = 1$

Now put y = 1 in the given equation

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If f:0, ∞→0, ∞ satisfy fxfy=x2yaa∈R , then the number of solutions of fx=x3 is

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If $f : (0, \infty) \to (0, \infty) s a t i s f y f (x f (y)) = x^{2} y^{a} (a \in R)$ , then the number of solutions of $f (x) = x^{3}$ is