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Find a table of values for each function and its inverse. a. f(x) = 3x + 1 Function f(x) X Inverse X f¹(x) b. f(x) = (2-x)² Function f(x) X Inverse X f¹(x)

Find a table of values for each function and its inverse. a. f(x) = 3x + 1 Function f(x) X Inverse X f¹(x) b. f(x) = (2-x)² Function f(x) X Inverse X f¹(x)

Advanced Engineering Mathematics
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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**Finding a Table of Values for Each Function and Its Inverse** This exercise involves two functions, each with corresponding tables to fill in with values for the function and its inverse. **a. Function \( f(x) = 3x + 1 \)** *Function Table:* - Two columns labeled "x" and "f(x)" - Five rows for input values and their respective outputs for the function *Inverse Table:* - Two columns labeled "x" and "f⁻¹(x)" - Five rows for input values and their respective outputs for the inverse of the function **b. Function \( f(x) = (2 - x)^2 \)** *Function Table:* - Two columns labeled "x" and "f(x)" - Five rows for input values and their respective outputs for the function *Inverse Table:* - Two columns labeled "x" and "f⁻¹(x)" - Five rows for input values and their respective outputs for the inverse of the function The goal is to determine the outputs for various inputs based on the given functions and calculate their inverse values as well, filling in the provided tables accordingly.
Transcribed Image Text:**Finding a Table of Values for Each Function and Its Inverse** This exercise involves two functions, each with corresponding tables to fill in with values for the function and its inverse. **a. Function \( f(x) = 3x + 1 \)** *Function Table:* - Two columns labeled "x" and "f(x)" - Five rows for input values and their respective outputs for the function *Inverse Table:* - Two columns labeled "x" and "f⁻¹(x)" - Five rows for input values and their respective outputs for the inverse of the function **b. Function \( f(x) = (2 - x)^2 \)** *Function Table:* - Two columns labeled "x" and "f(x)" - Five rows for input values and their respective outputs for the function *Inverse Table:* - Two columns labeled "x" and "f⁻¹(x)" - Five rows for input values and their respective outputs for the inverse of the function The goal is to determine the outputs for various inputs based on the given functions and calculate their inverse values as well, filling in the provided tables accordingly.
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