x^(4)+x^(2)" by "x^(2)-2

Let fog (x) = log_(e) x and g(x) =(x^(4) -2x^(3) + 3x^(2) - 2x+2)/(2x^(2) - 2x + 1) Then , the domain of fog (x) is

Let f(x) = log_(e) x and g(x) =(x^(4) -2x^(3) + 3x^(2) - 2x+2)/(2x^(2) - 2x + 1) Then , the domain of fog (x) is

What must be added to f(x) = x^(4) + 2x^(3) - 2x^(2) + x- 1 so that the polynomial is exactly divisible by g(x) = x^(2) +2x - 3 ?

If the polynomial p(x)=x^(4)-a^(2)x^(2)+2x-a be divisible by (x + a), then calculate the value of a.

3.Resolve (x^(4)-x^(2)+1)/(x^(2)(x^(2)-1)^(2)) into partial fractions.

Find the range of the function f(x)=(x^(4)+x^(2)+5)/((x^(2)+1)^(2))

Find the range of the function f(x)=(x^(4)+x^(2)+5)/((x^(2)+1)^(2))

Set of values of x satisfying (x^(2)-4x+1)^(2)+(x^(2)-4x+1)-2<=0 , is