[" Given a function "],[g(n)=(f(n+1))/(2-(f(0)+f(1)+...f(n)))],[" where "f(x)=(x)/(2^(x))" then the expression "g(m+1)-],[g(m)" is equal to "]

If g is the inverse of f and f'(x)=(1)/(2+x^(n)) , then g'(x) is equal to

If g is the inverse of f and f'(x) = 1/(2+x^n) , then g^(1)(x) is equal to

If g is the inverse of f and f'(x)=(1)/(2+x^(n)) then g'(x) is equal to

The value of int_1^2 {f(g(x))}^(-1)f'(g(x))g'(x) dx , where g(1)=g(2), is equal to

The value of int_1^2 {f(g(x))}^(-1)f'(g(x))g'(x) dx , where g(1)=g(2), is equal to

If f(x)=(a-n^(n))^(1//n) where a gt 0 and n in N , then f[f(x)] is equal to :

If g is the inversefunction of f and f’ (x ) = (1)/( 1 + x^(n)) then g'(x) is equal to

f(x) and g(x) are two differentiable functions on [0, 2] such that f''(x)-g''(x)=0, f'(1)=2, g'(1)=4, f(2)=3 and g(2)=9 , then [f(x)-g(x)] at x=(3)/(2) is equal to -