State if a rule is a function and, if it is, determine if it has an inverse that is also a function and justify Determine if a function is linear, quadratic, exponential, or none of these and provide ...

In particular, for a given real (not necessarily integer) value n of the number of degrees of freedom, we give a pair of power series approximations for the inverse, F−1 n , of the cumulative ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...

Inspired by Rearick's work on logarithm and exponential functions of arithmetic functions, we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

Determining composite and inverse functions Composite and inverse functions can be determined for trigonometric, logarithmic, exponential or algebraic functions.

Math 117 - Pre-Calculus for Scientists and Engineers is a four-credit course will concentrate on analyzing and exploring the basic function classes (linear, quadratic, polynomial, rational, ...