Let f & g be function defined by f(A) = cosA & g(A) = tanA . suppose x & y satisfy 2f(x) - g(y) = 1 , then the value if 2f(y) - g(x) is

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Let f be a function satisfying $2 f (x) - 3 f (\frac{1}{x}) = x^{2}$ for any $x \neq 0$ , then the value of f(2) is

f : [0, \infty) \to [2, \infty)

f^{2} (x) - 2 f (x) - \sqrt{x} = f^{2} (y) - 2 f (y) - \sqrt{y}

g (x)

f (x)

g^{'} (4)

2 f (x) - 3 f (\frac{1}{x}) = x^{2}

x \neq 0

f (x) = 5 x^{2} + 2, x \in R

f (a) = 22

f

x \geq 0

f

f (x) = f (a - x) = 1

a ϵ R^{+}

I = \int_{0}^{a} \frac{d x}{1 + f (x)}

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