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8-10. A table is a useful tool for writing some inverse functions. When the function has only one x in its equation, the function can be described with a sequence of operations, each applied to the previous result. Consider the following table for f(x) = 2/x-1+3. 1st 2nd 3rd 4th Copy and complete the following table for g(x) if What f Subtracts Multiplies by 2 Adds 3 g(x) = 3(x+1)° – 2. does to x: 1 Since the inverse must undo these operations, in the opposite order, the table for f1(x) would look like the 1st 2nd 3rd 4th What g Adds 1 Divides Subtracts does to x: by 3 one below. What g 1st 2nd 3rd 4th does to x: Subtracts Divides Adds 1 What f-1 does to x: by 2 What is the equation for f'(x)? What is the equation for g (x)? 8-11. Where does the function below

8-10. A table is a useful tool for writing some inverse functions. When the function has only one x in its equation, the function can be described with a sequence of operations, each applied to the previous result. Consider the following table for f(x) = 2/x-1+3. 1st 2nd 3rd 4th Copy and complete the following table for g(x) if What f Subtracts Multiplies by 2 Adds 3 g(x) = 3(x+1)° – 2. does to x: 1 Since the inverse must undo these operations, in the opposite order, the table for f1(x) would look like the 1st 2nd 3rd 4th What g Adds 1 Divides Subtracts does to x: by 3 one below. What g 1st 2nd 3rd 4th does to x: Subtracts Divides Adds 1 What f-1 does to x: by 2 What is the equation for f'(x)? What is the equation for g (x)? 8-11. Where does the function below

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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8-10
8-10. A table is a useful tool for writing some inverse functions. When the function has only one x in its equation, the function can be described with a sequence of operations, each applied to the previous result. Consider the following table for f(x) = 2/x -1+3. 1st 2nd 3rd 4th Copy and complete the following table for g'(x) if What f Subtracts Multiplies by 2 Adds 3 g(x) = 3(x+1)* – 2. does to x: 1 Since the inverse must undo these operations, in the opposite order, the table for f-"(x) would look like the 1st 2nd 3rd 4th What g Adds 1 Divides Subtracts does to x: by 3 one below. What g 1st 2nd 3rd 4th does to x: Subtracts Divides What f-1 does to x: What is the equation for f'(x)? Adds 1 by 2 What is the equation for g1(x)? 8-11. Where does the function below
Transcribed Image Text:8-10. A table is a useful tool for writing some inverse functions. When the function has only one x in its equation, the function can be described with a sequence of operations, each applied to the previous result. Consider the following table for f(x) = 2/x -1+3. 1st 2nd 3rd 4th Copy and complete the following table for g'(x) if What f Subtracts Multiplies by 2 Adds 3 g(x) = 3(x+1)* – 2. does to x: 1 Since the inverse must undo these operations, in the opposite order, the table for f-"(x) would look like the 1st 2nd 3rd 4th What g Adds 1 Divides Subtracts does to x: by 3 one below. What g 1st 2nd 3rd 4th does to x: Subtracts Divides What f-1 does to x: What is the equation for f'(x)? Adds 1 by 2 What is the equation for g1(x)? 8-11. Where does the function below
8-10. A table is a useful tool for writing some inverse functions. When the function has only one x in its equation, the function can be described with a sequence of operations, each applied to the previous result. Consider the following table for f(x) =2/x-1+3. 2nd 1st Subtracts 4th 3rd Multiplies by 2 Copy and complete the following table for g(x) if What f Adds 3 g(x) = 3(x+1)° – 2. does to x: Since the inverse must undo these operations, in the opposite order, the table for f '(x) would look like the 1st Adds 1 2nd 3rd Divides 4th What g Subtracts does to x: by 3 2 one below. What g 4th 2nd Divides by 2 What is the equation for f'(x)? 1st 3rd does to x: Subtracts Adds 1 What f does to x What is the equation for g'(x)? 8-11. Where does the granh of each function below intersect the x-axis?
Transcribed Image Text:8-10. A table is a useful tool for writing some inverse functions. When the function has only one x in its equation, the function can be described with a sequence of operations, each applied to the previous result. Consider the following table for f(x) =2/x-1+3. 2nd 1st Subtracts 4th 3rd Multiplies by 2 Copy and complete the following table for g(x) if What f Adds 3 g(x) = 3(x+1)° – 2. does to x: Since the inverse must undo these operations, in the opposite order, the table for f '(x) would look like the 1st Adds 1 2nd 3rd Divides 4th What g Subtracts does to x: by 3 2 one below. What g 4th 2nd Divides by 2 What is the equation for f'(x)? 1st 3rd does to x: Subtracts Adds 1 What f does to x What is the equation for g'(x)? 8-11. Where does the granh of each function below intersect the x-axis?
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