find a for which `3x^(2) + ax+3 gt 0,AA x in R.`

find a for which ax^(2) + x -1lt 0,AA x in R ?

The least value of n for which (n -2) x^(2) + 8 x + n + 4 gt sin^(-1) ( sin 12) + cos^-1)( cos 12),AA x in R", where " n in N , is ..............

If a and b ( != 0) are roots of x^(2) +ax + b = 0 , then the least value of x^(2) +ax + b ( x in R) is :

If f : R rarr R is defined by f(x) = x^2 – 3x + 2 , find f (f (x)) .

If f : R rarr R is defined by f(x) = x^2 - 3x + 2 , find f(f(x)).

Find the values of 'a' for which -3<(x^2+ax-2)/(x^2+x+1)<2 is valid for all real x.

Let f(x) = 2x^2 and g (x) = 3x - 4 , x in R . Find fog