Which of the following function(s) is/are tra | vedclass

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(D) function is called transcendental if it is not algebraic. Algebraic functions are those that can be expressed as the root of a polynomial equation

Vedclass · Accepted Answer

All of the above

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(D) function is called transcendental if it is not algebraic. Algebraic functions are those that can be expressed as the root of a polynomial equation with polynomial coefficients. Functions involving trigonometric,exponential,or logarithmic terms are generally transcendental. In option $A$,$f(x) = 5 \sin \sqrt{x}$ involves a trigonometric function. In option $B$,$f(x) = \frac{2 \sin 3x}{x^2 + 2x - 1}$ involves a trigonometric function. In option $C$,$f(x) = (x^2 + 3) \cdot 2^x$ involves an exponential function. Since all these functions are non-algebraic,they are all transcendental functions. Therefore,the correct option is $D$.

Which of the following function$(s)$ is/are transcendental?

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