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 in N for which (n - 4)x^(2) + 8x + n + 2 gt 0 AA x in R , is

Let f : R rarr R and g : R rarr R be two given functions defined as f(x) = 3x^(2) + 2 and g(x) = 3x-1, AA x in R Then find [(gof)(x)] at x = 1.

The quadratic expression ax ^(2)+bx+c gt 0 AA x in R, then :

The number of pairs (a,b) for which a(x+1)^(2)+b(x^(2)-3x-2)+x+1=0AA x in R

Find the values of k for which |(x^(2)+kx+1)/(x^(2)+x+1)|<2,AA x in R

If g (x) = x ^(2) -1 and gof (x) = x ^(2) + 4x + 3, then f ((1)/(2)) is equal (f(x) gt 0 AA x in R)