Question 17. Use the following function: f(x) = 2x: 1. Find the inverse of f(x). 2. Graph f(x) and f-1(x) and state the domain of each function. 3. Prove that f(x) and f-1(x) are inverses both graphically and algebraically. 1: Find the inverse of f(x) and show all work: f-¹(x) = 2. Graph f(x) and f-1(x) and state the domain of each function. Domain of f(x):. Domain of f(x): 4. Prove that f(x) and f-1(x) are inverses both graphically and algebraically. The functions f(x) and f-1(x) are inverses because graphically. Show work to prove algebraically that that f(x) and f-1(x) are inverses: Course: Algebra 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
Question
I get the inverse is x/2. But I forget how to prove the 4th question.
Question 17.
Use the following function: f(x) = 2x:
1. Find the inverse of f(x).
2. Graph f(x) and f-1(x) and state the domain of each function.
3. Prove that f(x) and f-1(x) are inverses both graphically and algebraically.
1: Find the inverse of f(x) and show all work:
f-¹(x) =
2. Graph f(x) and f-1(x) and state the domain of each function.
Domain of f(x):.
Domain of f(x):
4. Prove that f(x) and f-1(x) are inverses both graphically and algebraically.
The functions f(x) and f-1(x) are inverses because graphically.
Show work to prove algebraically that that f(x) and f-1(x) are inverses:
Course: Algebra 2
Transcribed Image Text:Question 17. Use the following function: f(x) = 2x: 1. Find the inverse of f(x). 2. Graph f(x) and f-1(x) and state the domain of each function. 3. Prove that f(x) and f-1(x) are inverses both graphically and algebraically. 1: Find the inverse of f(x) and show all work: f-¹(x) = 2. Graph f(x) and f-1(x) and state the domain of each function. Domain of f(x):. Domain of f(x): 4. Prove that f(x) and f-1(x) are inverses both graphically and algebraically. The functions f(x) and f-1(x) are inverses because graphically. Show work to prove algebraically that that f(x) and f-1(x) are inverses: Course: Algebra 2
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