If `f(x) = x^2` and `g(x) = cos x`, then choose the correct alternative(s)

If f(x) = x^2 and g(x) = sqrtx , then the correct relation will be

If f(x)=cos^(-1)(cos x) and g(x)=x, then

If f(x) =4x^2 and g(x) =f(sin x)+f(cos x), then g (23^(@)) is

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

If F = 2x^(2) - 3x -2 , then choose correct option:-

If f(x)=e^(sin(log cos x)) and g(x)=log cos x then what is the derivative of f(x)g(x)?

If f(x)=e^(sin(log cos x)) and g(x)=log cos x , then what is the derivative of f(x) with respect to g(x) ?

If f(x) be a function such that f(-x)= -f(x),g(x) be a function such that g(-x)= -g(x) and h(x) be a function such that h(-x)=h(x) , then choose the correct statement: I. h(f(g(-x)))=-h(f(g(x))) II. f(g(h(-x)))=f(g(h(x))) III. g(f(-x))=g(f(x))

Let f(x) = sqrt(2-x-x^(2)) and g(x) = cos x . Which of the following statement are true ? (I) Domain of f((f(x))^(2)) = Domain of f(g(x)) (II) Domain of f(g(x)) + g(f(x)) = Domain of f(g(x)) (III) Domain of f(g(x)) = Domain of f(g(x)) (IV) Domain of g((f(x))^(3)) = Domain of f(g(x))

If f(x) = 2 sinx, g(x) = cos^(2) x , then the value of (f+g)((pi)/(3))