The point of this assignment is to extend and reflect upon what we know about inverses,...

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The point of this assignment is to extend and reflect upon what we know about inverses, and realistic domain and range. Applying the rules of algebra are one thing, and being able to interpret what it means in context is another! The average cost of producing a chemical, C hundreds of dollars per ton, is a function of x tons of the substance produced. 1. 2. 3. 50 (x + 1)2 +4 C = f(x)= Find and interpret f(1) and f(15). Find a formula for x = f¹(C). What is its realistic domain? Find and interpret x = f¹(5). Part 2: Given h(x)=(3+ sin √2x-1) (A) Find a pair of functions, f(x) and g(x), such that h(x) can be decomposed into h(x) = f(g(x)). You cannot use f(x)=g(x)=x. (B) Find another pair, f(x) and g(x), that are different from above. The Assignment 1. Create a post responding to the above questions - remember your goal is to solve, but also EXPLAIN your thinking along the way. Like a teacher to a student, or to someone who isn't in this class. The point of this assignment is to extend and reflect upon what we know about inverses, and realistic domain and range. Applying the rules of algebra are one thing, and being able to interpret what it means in context is another! The average cost of producing a chemical, C hundreds of dollars per ton, is a function of x tons of the substance produced. 1. 2. 3. 50 (x + 1)2 +4 C = f(x)= Find and interpret f(1) and f(15). Find a formula for x = f¹(C). What is its realistic domain? Find and interpret x = f¹(5). Part 2: Given h(x)=(3+ sin √2x-1) (A) Find a pair of functions, f(x) and g(x), such that h(x) can be decomposed into h(x) = f(g(x)). You cannot use f(x)=g(x)=x. (B) Find another pair, f(x) and g(x), that are different from above. The Assignment 1. Create a post responding to the above questions - remember your goal is to solve, but also EXPLAIN your thinking along the way. Like a teacher to a student, or to someone who isn't in this class.

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Section 1 1 To locate For f1 and f15 we just need to enter the values of x into the function fx and ... View the full answer