Let `f (x)=(x+1) (x+2) (x+3)…..(x+100) and g (x) =f (x) f''(x) -f ('(x)) ^(2).` Let n be the numbers of rreal roots of `g(x) =0,` then:

Let f (x) = |x – 2| + |x – 3| + |x – 4| and g(x) = f (x + 1) . Then

Let f(x)=x^(2)-2x and g(x)=f(f(x)-1)+f(5-f(x)), then

Let f(x)=x^(2)+xg'(1)+g''(2) and g(x)=f(1).x^(2)+xf'(x)+f''(x) then

Let f (x)= signum (x) and g (x) =x (x ^(2) -10x+21), then the number of points of discontinuity of f [g (x)] is

Let f(x)=x^(2)+xg^(2)(1)+g'(2) and g(x)=f(1)*x^(2)+xf'(x)+f''(x) then find f(x) and g(x)

Let f(x)=e^(x)g(x),g(0)=4 and g'(0)=2, then f'(0) equals

Let f(x)=x^(2)+xg'(1)+g''(2) and g(x)=f(1)x^(2)+xf'(x)+f''(x) then f(g(1)) is equal to

Let f and g be two differentiable functins such that: f (x)=g '(1) sin x+ (g'' (2) -1) x g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2)) The number of solution (s) of the equation f (x) = g (x) is/are :