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) with a and b as integers.

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

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

If x^2+ax+b^2=0 has real roots then which of these is a possible ordered pair (a,b) ?

Let f(x)=(ax)/(bx+3). where a,b in{y:|y|<6,y~ is~ integer}.~ Then~ write~ the number of possible...ordered pairs (a,b), such that f(f(x)=x

Let f(x)=x^(2)+ax+b cos x, a being an integer and b is a real number.Find the number of orderedpars (a,b) for which the equations f(x)=0 and f(f(x)=0 have the same (non-empty) set ofreal roots.

Let f(x) = ax^(2) - bx + c^(2), b ne 0 and f(x) ne 0 for all x in R . Then

Let f(x) = ax^(2) - bx + c^(2), b ne 0 and f(x) ne 0 for all x in R . Then

Let f(x) = ax^(2) - bx + c^(2), b ne 0 and f(x) ne 0 for all x in R . Then

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.