Please help me answer these with shown works and explanation please!!

. T | | = Precalculus 1: Functions .' Week 1 Workbook Practice Problems 4. The table gives the populations of two cities (in thousands) over a 20 year period: Precalculus 1: Functions " Week 1 Workbook Practice Problems ' 6. Consider the functions S(x)= 1 e and g(x)=5x+1. Find and simplify the following functions and state the domain of each. Determine which city's population is changing at a constant rate, and find a linear function that models the population in that city. Describe the meaning of that constant rate of chan gein | a sentence. . (f+g)x) b (f 1 g)(x) g(f(0) d. f(g(x) 5. A clothing business finds there is a linear relationship between the number of shirts, 7, it can sell and the price, p, it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $30 per shirt, while 3000 shirts can be sold at a price of $22 per ;s st N 7 ,noSmEQ. the three functions expressed below (note that f{(x) is expressed as a formula, g(x) s expressed as a graph, and 7(x) is expressed as a table). . a. Write a function that models this scenario. Remember to include all of the components in the \"anatomy of a function\"! . a. Find (f+g)(-2) Variables: | S(x)=38x b. Find g(7(2)) Formula: c. Find f(7(3)) d. Solve g(x)=0 Domain and Range: e. Solve T(x)=2 b. Describe the meaning of the constant rate of change in your formula in a sentence. f. Whatis the domain of 7 (g)? . Use your model to determine the cost per shirt when 2000 shirts are made. Interpret your results with a complete sentence. & stretch your understanding - what is the domain of g(f)? Textbook problems (from Precalculus: An Investigation of Functions Textbook problems (from Precalculus: An Investigation of Functions see link on Moodle) see link on Moodle) Section 1.4 #1-19 odd, 21, 23, 27, 3143 odd > > Section 2.1 #1, 3, 5, 25, 27, 29, 31, 47