Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Question 10 of 10 To find the inverse of f(x) = 2x - 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step? A. Replace y with f-1(x). B. Subtract 1 from both sides of the equation. C. Solve the equation for y. O D. Solve the equation for x. SUBMIT

Sagot :

abidemiokin

Answer:

f⁻¹(x) = (x+1)/2

Step-by-step explanation:

Given the function f(x) = 2x - 1, we are to find its inverse;

Let y = f(x)

y = 2x - 1

Replace y with x

x = 2y - 1

Make y the subject of the formula

2y = x + 1

Divide both sides by 2

2y/2 = (x+1)/2

y = (x+1)/2

Replace y with f⁻¹(x)

f⁻¹(x) = (x+1)/2

Hence the required inverse is (x+1)/2

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.