e. Check symbolically (using our new definition of inverse from 5.) that thefunction 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.2.3.410131619b. Use the numerical representation of f to write down a numerical representationof f-1 (the inverse of f).16 19567.10133.c. Class Discussion: Is f-1 a function? If so, what class (linear, exponential, etc.) offunctions is f-1? Provide evidence from the numerical representation for youranswer. Would the inverse of every linear function belong to this same class offunctions? Explain your reasoning (numerically, graphically, and symbolically).linear equationnumenicalyNoteveryfunction belengs to the sameClass of functians bc theoutputs are differentInput.inverse ofevery lincar42.4 68 10 12d. Write down a symbolic representation of f-1.2.

According to the bartleby guidelines for more than three subparts only first three has to be solved…

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).

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)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

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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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

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.

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