MA129 Study Guide - Final Guide: Railways Act 1921, If And Only If, Square Root
25
MA129 Full Course Notes
Verified Note
25 documents
Document Summary
Factoring: common, ax2 + bx = x(ax + b, quadratic, x2+(a+b)x+ab=(x+a)(x+b, difference of squares a 2 = (x, x2, grouping, difference of cubes, x3 a 3 =(x a)(x , sum of cubes a)(x + a) 2+ax+a2: x3 + a3 = (x + a) (x2 ax + a. Laws of exponents: multiplication, xa xb = xa+b, division, x a/xb = xa b , exponent multiplication a. (x, exponent ab a b. =x: x1 = x, x0 = 1. 1: x a , xm/n = a x n xm. If not explicitly defined assumed it is consistent for all real numbers where the function is defined: factor first, find where x cannot be defined, domain includes all numbers except those not defined, for ex. f(x)= square root of (x2 9) i, x2, x2, = x, therefore: domain = (- infinity, -3)u(3, infinity)
