PreCalculus Formulas

All Rights Reserved PreCalculus Formulas Sequences and Series: Complex and Polars: Binomial Theorem 0()nnnkkknababk = += Arithmetic Last Term 1(1)naa n d=+ Geometric Last Term 11nnaar = Find the rth term (1) 11nrrnabr Arithmetic Partial Sum 12nnaaSn+ = Geometric Partial Sum 111nnrSar = Functions: To find the inverse function: f -1 (x) 1. Set function = y 2. Interchange the variables 3. Solve for y Composition of functions: ()()(())fgx fgx=D ()()(())gfx gfx=D 1()()ffxx =D Algebra of functions: ()()() ()fgx fx gx+=+; ()()() ()fgx fx gx = ()()() ()fgx fxgx=ii; ( / )()()/ (), () 0fgx fx gxgx= Domains:: (())(())DfxDgx Domain (usable x s) Watch for problems with zero denominators and with negatives under radicals. Range (y s used) Difference Quotient ()()fxh fxh+ terms not containing a mult.

PreCalculus Formulas Sequences and Series: Complex and Polars: Binomial Theorem 0 n nnkk k n ab a b k − = ⎛⎞ +=⎜⎟ ⎝⎠ ∑ Arithmetic Last Term aa n d n ...

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