Question 25

Which of the following functions is an odd function?

Solution

For odd function f(x) = -f(-x)

for option A : f(x) = $$2^{-x.x}$$, f(-x) = $$2^{-(-x).(-x)}$$ = $$2^{-x.x}$$ = f(x). Hence Option A is not correct

for Option B : f(x) = $$2^{x-x.x.x.x}$$, f(-x) = $$2^{(-x)-(-x).(-x).(-x).(-x)}$$ = $$2^{(-x)-x.x.x.x)}$$ $$\ne\ -f\left(-x\right)$$

Neither A or B are correct

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