If f(x) = 3xn and g(x) = 5x(n+1), where n is a natural number. Find f(x).g(x) is which kind of function?
Explanation:
f(x).g(x) = 15x(2n+1),
Now, 2n + 1 is an odd number when n is any natural number.
∴ f(-x).g(-x) = 15(-x)(2n+1) = -15(x)(2n+1)
∴ 15(-x)(2n+1) is an odd function.
Hence, option (b).
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