If `g(x)=x ^4−x ^3+x ^2 +3x−5,` find `g(2+3i)`

If f(x) = root(3)(x) and g(x) = x^(3) + 8 , find (f @ g) (3) .

If p(x)=x^(5)+4x^(4)-3x^(2)+1 " and" g(x)=x^(2)+2 , then divide p(x) by g(x) and find quotient q(x) and remainder r(x).

check whether g(x) is a factor of f(x) or not f(x)=x^5+3x^4−x^3−3x^2+5x+15 , g(x)=x+3

If f (x) =3x ^(9) -2x ^(4) +2x ^(3)-3x ^(2) +x+ cosx +5 and g (x) =f ^(-1) (x), then the value of g'(6) equals:

Let f (x) = x^(3)+ 4x ^(2)+ 6x and g (x) be inverse then the vlaue of g' (-4):

If g(x) = 2x^(2) + 3x - 4 and g (f(x)) = 8x^(2) + 14 x + 1 then f (2) =

Find x and y if (x^4+2x i)-(3x^2+y i)=(3-5i)+(1+2y i)

Let f : R rarr R be defined by f(x) = x^(2) + 3x + 1 and g : R rarr R is defined by g(x) = 2x - 3, Find, (i) fog (ii) gof

If f(x) = (3)/(x-2) and g(x) = sqrt(x + 1) , find the domain of f @ g .

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