If `f(x)=sqrt(x^2+a x+4)` is defined for all `x ,` then find the value of `adot`

If f(x)=sqrt(x^(2)+ax+4) is defined for all x then find the values of a.

Let f(x)=sqrt((x^(2)+ax+4)/(x^(2)+bx+16)) is defined for all real x then find the number of possible ordered pairs (a,b)

If f(sinx)-f(-sinx)=x^(2)-1 is defined for all x in R , then the value of x^(2)-2 can be

If f(x)=x^3+2x then find the value of f(4)

Let f(x)=a/x+x^2dot If it has a maximum at x=3, then find the value of adot

If f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1 is continuous at x=1 then find the value of adot

Let f be differentiable for all x, If f(1)=-2 and f'(x)>=2 for all x in[1,6] then find the range of values of f(6)

Given that S=|sqrt(x^(2)+4x+5)-sqrt(x^(2)+2x+5)| for all real x, then find the maximum value of S^(4)

sqrt(log_(4){log_(3)(log_(2)(x^(2)-2x+a))}) defined for all x in R then st of values of a: