What will be the nature of roots of the equation whose graph has been given below? 

What will be the nature of roots of the equation which has been given below? 

$3 x^{2} + 2 x + 1 = 0$ 

If f(x) = 2x+4 and g(x) = x+4, find the value of g(f(f(3)). 

If a function is defined as f(x) = min(x-4, 4-2x), then the value of x for which the function attains the maximum value. 

If$2^{x + 6} - 6 = 2^{x + 4}$, find the value of$x$. 

If α and β are the roots of equation $x^{2} + 14 x - 51$, find the equation whose roots are 2α and 2β. 

Define the value of x for which the equation is defined, 

$\frac{x^{2} - x - 6}{x + 2} \leq 0$ 

Find the value of x which the satisfies equations- 

$2 x - 6 \geq 0$ 

$2 x - 12 \leq 0$ 

What will be the nature of discriminant and “a” for the quadratic equation whose graph has been given below? 

 If $\sqrt{x} + \frac{1}{\sqrt{x}} = 3$, find the value of $x^{2} + \frac{1}{x^{2}}$. 

If $\left(\left(\right. a + 1 \left.\right)\right)^{2} + \left(\left(\right. b - 3 \left.\right)\right)^{2} + \left(\left(\right. c + 12 \left.\right)\right)^{2} = 0$, find the value of $\sqrt{a b c}$. 

If $x + y + z = 12$ and find the value of $\left(\left(\right. 6 - x \left.\right)\right)^{3} - \left(\left(\right. 6 - y \left.\right)\right)^{3} - 3 \left(\right. 6 - x \left.\right) \left(\right. 6 - y \left.\right) z$ 

If the graph of the function f(x) is given below, what will be the graph of the function –f(x)? 

Find the minimum area bounded by the curve $\left|\right. x \left|\right. \text{ } + \left|\right. y \left|\right. \text{ } \geq 2$ 

F(g(x))=2 $\left|\right. g \left(\right. x \left.\right) \left|\right.$, g(x)= $x^{2}$,find f(g(x)) for x=-3.5