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Change of Variables

If f:R-R f(x)...

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If f:R-R f(x) =2x+|x| then f(3x) -f(-x) -4x equals to

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f : R \to R

f (x) = 2 x + | x |

f (3 x) - f (- x) - 4 x =

Q. If f : R → R is given by f(x) = 2x + |x|, then f(2x) + f(–x) + 4x = _______________.

f : R \to R

f (x) = 2 x + | x |

f (2 x) - f (- x) - 4 x =

f : R \to R, f (x) = 4 x^{3} + 3

f^{- 1} (x)

f : R \to R

be differentiable at

x = 0

f (0)

f^{'} (0) = 2

, then the value of

\begin{matrix} lim x \to 0 \end{matrix} \frac{1}{x} [f (x) + f (2 x) + f (3 x) + . . . + f (2015 x)]

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