composition of monotonic function

Statement-1: The function f(x) given by f(x)=sin^(-1){log(x+sqrt(x^(2)+1))} is an odd function. Statement:2 The composition of two odd functions is an odd function.

Every invertible function is (a) monotonic function (b) constant function (c) identity function (d) not necessarily monotonic function

Composition of semen is

The composition of function is commutative.

The composition of two continuous function is a continuous function.

The composition of two continuous function is a continuous function.

If A={1,2,3}, B={1,3,5,7,9}, the ratio of number of one-one functions to the number of strictly monotonic functions is ………. .

Let f(x) =x^(3)-3x +2. Examine the monotonicity of function at points x=0.1,2

Find the intervals of monotonicity of the function y=2x^2-log|x|, x!=0

Let A be a non-empty set and S be the set of all functions from A to itself. Prove that the composition of functions 'o' is a non-commutative binary operation on Sdot Also, prove that 'o' is an associative binary operation on Sdot