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Maths-

General

Easy

Question

Let f : R → R be a function defined by f(x) = $fraction numerator e to the power of cos invisible function application x end exponent minus e to the power of negative sin invisible function application x end exponent over denominator e to the power of sin invisible function application x end exponent plus e to the power of negative sin invisible function application x end exponent end fraction$ , then

f is both one-one and onto
f is one-one but not onto
f is onto but not one-one
f is neither one-one nor onto

The correct answer is: f is neither one-one nor onto

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