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

If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) " in " x in [9 pi//4, 15 pi//4] is 9pi^(2)//b (where a and b are coprime), then the value of b is ____

If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) " in " x in [9 pi//4, 15 pi//4] " is " 9pi^(2)//b ' (where a and b are coprime), then the value of (a- b) is ____

If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) " in " x in [9 pi//4, 15 pi//4] " is " 9pi^(2)//b (where a and b are coprime), then the value of b is ____

If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) in x in [9 pi//4, 15 pi//4] is 9pi^(2)//b (where a and b are coprime), then the value of (a- b) is ____

If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) " in " x in [9 pi//4, 15 pi//4] " is " api^(2)//b (where a and b are coprime), then the value of b is ____

If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) " in " x in [9 pi//4, 15 pi//4] " is " 9pi^(2)//b (where a and b are coprime), then the value of b is ____

If the area enclosed by the curves f(x) = cos^(-1) (cos x) and g(x) = sin^(-1) (cos x) " in " x in [9 pi//4, 15 pi//4] " is " api^(2)//b (where a and b are coprime), then the value of b is ____

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

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