NAME: MATH 1643Fall 2017Ungraded HW 7.5Lesson 2.7 (You will not hand in this homework, though you need to know how to do it. Answers will eventually be posted so that you can check your work.) INSTRUCTIONS: On each problem, show your work in the blank space provided. Place your final answer in the box. #1. Find the inverse of each function. Use proper inverse function notation in your answer. (For example, the inverse of f (x) should be labelled f 1 (x).) (a) f (x) = 3x + 5 7 8x 1a 5(x 4)3 (b) g(x) = +7 2 1b #2. Consider the function f (x) = 1 + 2 x + 5. (You can and should graph f (x) by applying function transformations to the parent function y = x, whose graph you should know.) (a) Find the domain and range of the function f (x). State your answers in interval notation. 2a (Domain) 2a (Range) (b) Find f 1 (x), using the algebraic process shown in class. 2b (c) What is the domain of f 1 (x)? (Careful! You must consider how the domain and range of f 1 (x) relates to the domain and range of f (x).) 2c (d) What is the range of f 1 (x)? 2d #3. For any one-to-one function f (x), the graphs of f (x) and f 1 (x) are reflections of one another across the line y = x. Below you are given the graph of a one-to-one function f (x). On the same coordinate plane, draw the graph of f 1 (x)