8. Find the inverse functions of these real functions 1 (a) f(x) = (r - 1)/2 (b) f(x) = 3r - 2
8. Find the inverse functions of these real functions 1 (a) f(x) = (r - 1)/2 (b) f(x) = 3r - 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:**Problem 8: Find the inverse functions of these real functions**
1.
- **(a)** \( f(x) = \frac{x^3 - 1}{2} \)
- **(b)** \( f(x) = 3x - 2 \)
There are no graphs or diagrams accompanying the text.
Expert Solution
Step 1
- Step 1- first replace f(x) by y , by doing so we can convert the given function into equations .
- Step 2- Interchange the variable .
- Step 3- Solve the equation for y .
- Step 4- Solution of y is our required inverse .
You may check that your inverse is correct or not by doing the following process .
if f(f-1(x)) = x ,then it is correct .
Step by step
Solved in 2 steps with 1 images
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