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If function `f` satisfies the relation `f(x)xf^(prime)(-x)=f(-x)xf^(prime)(x)fora l lx ,a n df(0)=3,a n diff(3)=3,` then the value of `f(-3)` is ______________

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`f(x)cdotf'(-x)=f(-x)cdotf'(x)`
`"or "f'(x)xxf(-x)-f(x)xxf'(-x)=0`
`"or "(d)/(dx)[f(x)f(-x)]=0`
`"or "f(x)f(-x)=k`
`"Given "(f(0))^(2)=k=9 or k=9`
`"Then "f(3)f(-3)=9 or f(-3)=3`
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