Algorithm of one-one function

Algorithm to check function is invertible

If f:A rarr B and g:B rarr C are one-one functions,show that gof is one-one function.

Which of the following is one-one function ?

Statement-1 : If f(x) and g(x) are one-one functions then f(g(x)) and g(f(x)) is also a one-one function. and Statement-2 The composite function of two one-one function may or many not be one-one.

STATEMENT-1: f(x)=x^(3) is a one-one function . and STATEMENT-2 : Any monotonic function is a one-one function .

Condition of inverse function; existence and algorithm to determine

Which of the functions defined below is one one function ?

If fandg are one-one functions,then (a) f+g is one one (b) fg is one one one (c)fog is one one (d) noneofthese

Which of the following defines as one - one function ?