g(y)=4x^(2)-4x+1

If g(x-2)=x^(2)-4x+5 , the determine - (a) g (x) and (b) g(x + 1).

If g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

BY Remainder theorem , find the remainder when p(x) is divided by g(x) (i) p(x) =x^(3)-2x^(2)-4x-1, g(x)=x+1 (ii) p(x) =x^(3)-3x^(2)+4x+50, g(x) =x-3

BY Remainder theorem , find the remainder when p(x) is divided by g(x) (i) p(x) =x^(3)-2x^(2)-4x-1, g(x)=x+1 (ii) p(x) =x^(3)-3x^(2)+4x+50, g(x) =x-3

If g(x)=x^(2)+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

Let RR be the set of real numbers and f: RR rarr RR ,g: RR rarr RR be two functions such that, (g o f) (x) = 4x^(2)+4x+1 and (f o g ) (x) = 2x^(2)+1 . Find f(x) and g(x) .

Find the horizontal, vertical and oblique asymptotes of each of the curves. {:((a),y=x/(x+4),,(b),y=(x^(2)+4)/(x^(2)-1)),((c),y=x^(3)/(x^(2)+3x-10),,(d),y=(x^(3)+1)/(x^(3)+x)),((e),y=x/(root(4)(x^(4)+1)),,(f),y=(x-9)/(sqrt(4x^(2)+3x+2))),((g),y=1/(2^(x)-1),,(h),y=1/(log_(e) x)),((i),y= 1/(2^(x) - 1),,,):}

Orthogonal trajectories of the family of curves represented by x^(2)+2y^(2)-y+c=0 is (A) y^(2)=a(4x-1)(B)y^(2)=a(4x^(2)-1)(C)x^(2)=a(4y-1)(D)x^(2)=a(4y^(2)-1)