Question 1 :
Given that $T=\dfrac { 2\pi l}{ \sqrt { { l }^{ 2 }+{ g }^{ 2 } } } $, find the value of $T$ if $\pi =3.142$, $l=7.89$ and $g=9.81$.<br/>(Give your answer correct to $3$ significant figures).
Question 2 :
Given two functions $f(x)=2x+1$ and $g(x)=4x-4$, find the value of $f(0)\times g(0)$?
Question 3 :
Domain of function as $f\left( x \right) = \dfrac{{^3\sqrt {{x^2} - 5x + 6} }}{{{x^2} - x - 6}}$ is
Question 5 :
Given that $\displaystyle f\left( x \right) =4{ x }^{ 2 }-5x-5$ and $\displaystyle g\left( x \right) ={ 2 }^{ x }-4$, then the value of $\displaystyle \frac { g\left( 6 \right) }{ f\left( -5 \right) } $ is:
Question 6 :
For the function defind as $\displaystyle f\left( x \right) =\frac { { x }^{ 2 } }{ 4 } -11$, find the value of $x$ if $f(x)=-7$. <br/><br/>
Question 7 :
The set of values of x satisfying the equation $\sqrt {2x - 5} \langle - 5$
Question 8 :
If $\displaystyle T=\frac { 5 }{ 9 } \left( K-32 \right) $ and if $T=290$, then $K=$
Question 9 :
Let $R$ be a relation in $N$ defined by $\displaystyle \left \{ (x,y):2x+y= 8 \right \}$ then range of $R$ is<br>
Question 10 :
If A = {1, 3, 5, 7} , B = {2, 4, 6, 8, 10} and let R = {(1,8), (3,6), (5,2), (1,4)} be a relation from A to B. Then,<div>Domain (R) = ?</div>
Question 11 :
The range of the function $f(x) = \dfrac{{1 - \tan x}}{{1 + \tan x}}$ is
Question 12 :
The domain of the function $\displaystyle f\left ( x \right ) = \frac{1}{x+1}$ is _______
Question 13 :
$2$ does not lie in the domain of which of the following function?
Question 14 :
If $f(x)={ \left( x+\sqrt { 3 } \right) }^{ 4 }$, what is the range of the function $f(x)$?