For any real valued function satisfying f'(x)-sin(x)(f(x)-1)<=0 for all real x and f(0)=1,then find the range of f(x). (A)(-infinity,1] (B)[-1,1] (C)[1,infinity) (D)(-1,1)

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f (x) = \sqrt{x - 1} + \sqrt{x + 24 - 10 \sqrt{x - 1}}, 1 \leq x \leq 26

f^{'} (x)

1 < x < 26

p

p, 1, \frac{1}{p}, . . . . . .

\frac{25}{4}

f (x) = \frac{4 - x}{x - 4}

x \in R

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

A = [- 1, 1], B = [- 1, 1], C = [0, \infty)

R_{1} = {(x, y) \in A \times B : x^{2} + y^{2} = 1}

R_{2} = {(x, y) \in A \times C : x^{2} + y^{2} = 1}

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