Linear Inverse Investigation: Consider the following linear function f (x) = 3x +1. %3D a. Represent f numerically with a table of at least six values. to 10 13 16 19 b. Use the numerical representation of f to write down a numerical representation of f-1 (the inverse of f).

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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e. Check symbolically (using our new definition of inverse from 5.) that the
function you wrote down in (d) is, indeed, the inverse of f (x).
Transcribed Image Text:e. Check symbolically (using our new definition of inverse from 5.) that the function you wrote down in (d) is, indeed, the inverse of f (x).
4. Linear Inverse Investigation: Consider the following linear function f(x) = 3x +1.
a. Represent f numerically with a table of at least six values.
2.
3.
4
10
13
16
19
b. Use the numerical representation of f to write down a numerical representation
of f-1 (the inverse of f).
16 19
56
7.
10
13
3.
c. Class Discussion: Is f-1 a function? If so, what class (linear, exponential, etc.) of
functions is f-1? Provide evidence from the numerical representation for your
answer. Would the inverse of every linear function belong to this same class of
functions? Explain your reasoning (numerically, graphically, and symbolically).
linear equation
numenicaly
Not
every
function belengs to the same
Class of functians bc the
outputs are different
Input.
inverse of
every lincar
4
2.
4 68 10 12
d. Write down a symbolic representation of f-1.
2.
Transcribed Image Text:4. Linear Inverse Investigation: Consider the following linear function f(x) = 3x +1. a. Represent f numerically with a table of at least six values. 2. 3. 4 10 13 16 19 b. Use the numerical representation of f to write down a numerical representation of f-1 (the inverse of f). 16 19 56 7. 10 13 3. c. Class Discussion: Is f-1 a function? If so, what class (linear, exponential, etc.) of functions is f-1? Provide evidence from the numerical representation for your answer. Would the inverse of every linear function belong to this same class of functions? Explain your reasoning (numerically, graphically, and symbolically). linear equation numenicaly Not every function belengs to the same Class of functians bc the outputs are different Input. inverse of every lincar 4 2. 4 68 10 12 d. Write down a symbolic representation of f-1. 2.
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