$f{\left ( x \right )} = \left \lbrace 2 x - 1 , X > 3 , x^{2} - 4 , - 2 ≤ x ≤ 3.2 x + 1 , X < - 1 \right \rbrace$

f(-3) এর মান কত?

Let $f(x)=2-|x-3|, 1 \le x \le 5$ and for rest of the values $f(x)$ can be obtained by using the relation $f(5x)=\alpha\, f(x)\forall\, x \in R$.
The value of $f(2007)$ taking $\alpha = 5$, is: 

If $f(x) = \log_x [\ln(x)]$, then $f'(x)$ at $x = e$ is:

Let for $a\neq { a }_{ 1 }\neq 0$
$f(x)={ ax }^{ 2 }+bx+c,g(x)={ a }_{ 1 }{ x }^{ 2 }+{ b }_{ 1 }x+{ c }_{ 1 }$ and $p(x)=0$ only for x = -1 and p(-2) = 2, the the value of p(2) is :

$f: \mathrm{R} \rightarrow \mathrm{R}$ (ে $f(\mathrm{x})=\left\{\begin{array}{l}\mathrm{x}^{2}+3 \mathrm{x}, \text { यখन } \mathrm{x} \geq 2 \\ x+2, \text { यখन } \mathrm{x}<2\end{array}\right.$ হলে,

(i) f(2) এর মান=4;  (ii) f(-2) এর মান =0;  (iii) f(3) এর মান=18

নিচের কোনটি সঠিক ?