Function Machines & Algebraic Functions

Interactive macro-enabled MS-Excel spreadsheet. Contents: Find a range of output f(x) of a function given a domain of input x. Find a sum or difference in the values of two functions f(x) & g(x). Find a function machine’s output & input by drawing machines. Find a function machine’s output & input by algebraic methods. Find a function f(x) given two input & output values (randomised). Find a function f(x) given two input & output values (user-defined). Find an inverse function f⁻¹(x) using inverse function machines. Find an inverse function f⁻¹(x) by algebraic methods. Write down one function’s inverse function & solve f(x) = f⁻¹(x). Write down two functions’ inverse functions & solve f⁻¹(x) = g⁻¹(x). Evaluate a composite fg(x) of a given linear & quadratic function. Express a composite of a linear & quadratic function as k(ax² ± bx). Solve composite fg(x) = gf(x) of a given linear & quadratic function.