Let If the set of values of k for which `f(x) < 0 AA x in (-3,3) and f(-4)> 0 is (p,q)` then find the value of `(4p+3q),` where `f(x)=kx^2+x(3-4k)-12.`

Let If the set of values of k for which f(x) 0is(p,q) then find the value of (4p+3q), where f(x)=kx^(2)+x(3-4k)-12

let f(x)=5 , -oo 1) f(g(x))=5 then find the value of 2p+q

f(x)=log_(2)(x^(4)+a). Let P be the set of values of of a for which for which f(x) is defined AA x in R&Q be the set of values of of a for which f(x) attains all real values,then the number of element in P nn Q is

Let f(x)=(kx)/(x+1) then the value of k such that f(x) is

If x=(6pq)/(p+q) , then find the value of (x+3p)/(x-3p) +(x+3q)/(x-3q)

If (x + 6) is a factor of f (x) = x ^(3) + 3x ^(2) + 4x + P, then find the value of P.

Find the values of k for which f(x) = kx^(3) - 9kx^(2) + 9x + 3 is increasing on R.

If x +2 is a factor of f( x) and f(x) =x^(3)+4x^(2)+kx-6 , then find the value of k .

If the zeros of the polynomial f(x)=x^3-12 x^2+39 x+k are in A.P., find the value of k .

Find the values of k for which f(x)=kx^(3)-9kx^(2)+9x+3 is increasing on R .