Question 2 1. Consider a function f(x) = 4+ 6x², when x > 0. i. Provide a detailed statement about when a function will have an inverse. ii. Does f(x) qualify to have an inverse? Show/Explain. iii. Define g(x) as the inverse function of f(x). Solve for g(x). iv. What is the domain and range for g(x) and how does it compare to the domain and range of f(x)? v. Provide an accurate graph that shows both f(x) and g(x) and their relation- ship to the 45 degree line.

Question 2 1. Consider a function f(x) = 4+ 6x², when x > 0. i. Provide a detailed statement about when a function will have an inverse. ii. Does f(x) qualify to have an inverse? Show/Explain. iii. Define g(x) as the inverse function of f(x). Solve for g(x). iv. What is the domain and range for g(x) and how does it compare to the domain and range of f(x)? v. Provide an accurate graph that shows both f(x) and g(x) and their relation- ship to the 45 degree line.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.7: Inverse Functions

Problem 46SE: The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of...

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