Signum Function

Let L denotes the number of subjective functions f : A -> B, where set A contains 4 elementset B contains 3 elements. M denotes number of elements in the range of the function f(x) = sec^-1(sgmx) + cosec^-1(sgn x) where sg n x denotes signum function of x. And N denotes coefficient of t^5 in (1+t^2)^5(1+t^3)^8. The value of (LM+N) is lambda, then the value of lambda/19 is

The signum (or sign) function, denoted by sgn, is defined by sgn x={-1 if x lt0 and 0 if x=0 and 1 if x gt 0 Computer the following.

Some Functions And Their Graphs|Identity Functions|Constant Functions|Polynomial Functions|Square Functions|Cube Functions|OMR

Onto function (Surjective function) and Into functions

Prove that the derivative of an even function is an odd function and that of an odd function is an even function.

Algebraic Functions, Trigonometric functions and Inverse trigonometric functions

The composition of any function with the identity function is the function itself.

Modulus; signum; greatest integer and fractional part function