Let `f(x)=cos x` and `g(x)=x^(2)`

If f(x)=sin x+cos x and g(x)=x^(2)-1 then g(f(x)) is invertible in the domain.

If f(x)=cos^(-1)(x) and g(x)=x^(2) , then range of f(g(x)) is)

Let f(x)=sgn(x) and g(x)=x(x^(2)-5x+6) The function f(g(x)) is discontinuous at

If f(x)=3 cos x and g(x)=sin^(2)x , the evaluate: (f+g)((pi)/(2))

Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), then g'(3) equals to ........ .

Let f(x)=(sinx)/x and g(x)=|x.f(x)|+||x-2|-1|. Then, in the interval (0,3pi) g(x) is :

Let f(x) =sinxandg(x)=x^(3) (d)/(dx)f(g(x)) at x=(pi)/(2) is ________.

Let f(x) = x^(2) and g(x) = 2x + 1 be two real functions. Find : (f + g) (x), (f - g) (x), (fg) (x) and ((f)/(g)) (x) .

Let f(x) = x^2 and g(x) = 2x + 1 be two real functions. Find (f + g) (x), (f –g) (x), (fg) (x), (f/g ) (x)