`f:R rarr R`,`f(x)=(3x^(2)+mx+n)/(x^(2)+1)` .If the range of this function is `[-4,3)`, then find the value of `m^(2)+n^(2)`.

Let f:R rarr R and f(x)=(3x^(2)+mx+n)/(x^(2)+1) . If the range of this function is [-4,3], then the value of (m^(2)+n^(2))/(4) is ….

Le t f(x)=(3x^(2)+mx+n)/(x^(2)+1) if range ofthe function is [-10,3) then the value of m-n is -

function f,R rarr R,f(x)=(3x^(2)+mx+n)/(x^(2)+2) if the range of function is [-4,3), find the value of |m+n|is........

Let f:R rarr R be defined as f(x)=(x^(2)-x+4)/(x^(2)+x+4). Then the range of the function f(x) is

If f:R rarr R is given by f(x)=(x^(2)-4)/(x^(2)+1) identify the type of function.

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:R to R be defined as f (x) =( 9x ^(2) -x +4)/( x ^(2) _ x+4). Then the range of the function f (x) is