Consider `f (x) = x^2-x+1 & g(x) = x^2 - x K-2; K in R` then If `AAx in R ; |f(x) + g(x)|=|f(x)||g(x)|` then number of possible integral values of K in `[-5,5]` is

If f(x) =x^(2) +1, g(x) = x^(2) - 5x+6 , find f+g, f-g, f/g .

Let f : R to R :f (x) = x ^(2) g : R to R : g (x) = x + 5, then gof is:

If f(x)=kx^(2)-3x+k and g(x) = x - 1 be two polynomials, then g(x) will be a factor of f(x) when k =

If f(x)=3x-2, g(x)=2x+k and if fog=gof, then find the value of k.

If f: R rarr R, f(x)= x-2, g: R rarr R, g(x)= x + 2 then (f+ g) (x) = ……..

If the function f(x)=(sqrt(x^(2)+kx+1))/(x^(2)-k) is continuous for every x in R , then possible integral values of k

f(x)=(x-k)/(5) and g(x)=5x+7 . If f(g(x))=g(f(x)) , what is the value of k?

Suppose f and g are differentiabel functions such that xg (f(x))f'(g (x))g '(x) =(g(x))g '(f(x)) f'(x) AA x in R and f is positive AA n in R. Also int _( 0)^(x) f (g(t )) dt =1/2 (1-e^(-2x))AA x in R, g (f(0))=1 and h (x) = (g(f (x)))/(f (g(x)))AA x in R. The largest possible value of h(x)AA x in R is: