
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Transcribed Image Text:**Problem 1: Inverting and Analyzing the Function**
Given the function \( f(x) = -2 \ln(x + 1) \), perform the following tasks:
**d. Find the Inverse Function \( f^{-1} \)**
Find the expression for the inverse of the function.
**e. Determine the Domain and Range of \( f^{-1} \)**
Identify the domain and range for the inverse function.
**f. Graph \( f^{-1} \)**
Use the provided coordinate grid to sketch the graph of the inverse function. The grid is a standard Cartesian plane with both horizontal and vertical axes, marked with equal increments, ready for plotting functions. The center of the grid is represented by the intersection of the x and y axes.
Expert Solution

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Step 1
Given that:
f(x) = -2ln (x+1)
To find:
a) inverse of f(x)
b) Domain and range of inverse of f(x)
c) graph of
Calculations:
a) We find the inverse of f(x)
Let y = f(x)
So, x = ..(1)
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