Use function composition to determine if f(x) and g(x) are inverses. Answer yes or no. Hint - Find (fog)(x) and (gºf)(x).
1. f (x) = 3x + 5 and g(x) = 3x - 5
2. f(x) = 2x + 3 and g(x) = -2x - 3
3. f(x) = -4x + 16 and g(2) = 4 - 12
4. f (x) = 4+ $x and g(x) = x – 7

Ascale drawing of a lake has a scale of 1 cm to 80 m. if the actual width of the lake is 1000 m what is the width of the lake on the scale drawing

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

Acompany charges $0.10 for each letter engraved. bobby plans to spend no more than $5.00 on the engraving on a jewelry box. write and solve an inequality to find the maximum number of letters he can have engraved.