Claim. Let and be OP maps.Then the composite is an OP map.Proof.

Math 103—Week 2 Notes—1.52.2 1.5: Exponential Rules: If a > 0 and b > 0… a • a = a x+y x a xy y = a a (a ) = (a ) = axy a • b = (ab)x x a a x x = ( ) b b Exponential Growth/ Decay: kx y = y 0 exponential growth if k > 0 exponential decay if k < 0 *y is a constant 0 y = Pe continuously compounded interest model P is initial monetary investment r is interest rate (decimal form) t is time (in units consistent with r) 1.6: Onetoone function: when each range value (y) has one distinct domain value (x) Passes the horizontal line test Inverse Functions: 1 Notat