Given f(x)=x, find the domain for g(x) = 75(4(+x+2)) - 2. Explain 1. Determine the algebraic...

   

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Given f(x)=√x, find the domain for g(x) = 75(4(+x+2)) - 2. Explain 1. Determine the algebraic representation of the following piecewise function (ie. Write a function to represent the piecewise function below). -5 -4 -3 -2 -1 4 -2. -3 ist. 1 2 X 2. A gym charges $5/hour for the first four hours of use in a week, and a total flat rate of $20 after that. a) How much would you spend going to the gym for 3 hours in a week? 5 hours in a week? b) Write a piecewise function that models the total cost of the gym in a week according to the number of hours spent there. c) Is the function continuous or discontinuous? Explain. - Find the value of k that will make the following function continuous: f(x)= x²-k, if x < -2 4x+5, if x2-2 Given f(x)=√x, find the domain for g(x) = 75(4(+x+2)) - 2. Explain 1. Determine the algebraic representation of the following piecewise function (ie. Write a function to represent the piecewise function below). -5 -4 -3 -2 -1 4 -2. -3 ist. 1 2 X 2. A gym charges $5/hour for the first four hours of use in a week, and a total flat rate of $20 after that. a) How much would you spend going to the gym for 3 hours in a week? 5 hours in a week? b) Write a piecewise function that models the total cost of the gym in a week according to the number of hours spent there. c) Is the function continuous or discontinuous? Explain. - Find the value of k that will make the following function continuous: f(x)= x²-k, if x < -2 4x+5, if x2-2