ntConsider the graph y=f(x) is symmetric about the lines x=2 and x=4 then period of f(x) isn

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Q. The graph of the function

y = f (x)

is symmetric about line

x = 2

, then

Q. A function f:

R \to R

satisfies

sin x cos y [f (2 x + 2 y) - f (2 x - 2 y)] = cos x sin y [f (2 x + 2 y) + f (2 x - 2 y)]

f^{'} (0) = \frac{1}{2}

, then

Q. Consider the function

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

. What is

f (2 x)

equal to?

Q. A function f(x, y) is defined for non - negative integers
I. f(0, 0) = 0
II. f(2x, 2y) = f(2x + 1, 2y + 1) = f(x, y)
III. f(2x + 1, 2y) = f(2x, 2y + 1) = f(x, y) + 1
What is the value of f(11, 5)?

If $f_{1} (x) = x^{2} + 11 x + n$ and $f_{2} (x) = x$ , then the largest positive integer n for which the equation $f_{1} (x) = f_{2} (x)$ has two distinct real roots, is___

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