II. Determine the inverse of the following functions. Verify that flf-1(x)] = x and f-f(x)] = x. a. f(x) = x+9 5-3x b. f(x) = = c. f(x) =

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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Question
I. Sketch the graph of the following functions. Apply the step - by - step process in graphing rational
functions.
a. f(x) =
x+4x+3
b. f(x) =;
x+5
(x-2)(x+2)
Steps in Graphing Rational Functions
Step 1: Factor the numerator and the denominator.
Step 2: Find the vertical asymptote by identifying the not common factor to the numerator and
denominator and equate to 0.
Step 3: Determine if there is a removable discontinuity by identifying the common factor to the
numerator and denominator and equate to 0.
Step 4: Find the horizontal asymptote, if it exists.
Step 5: Use table of values to see the trend of the graph or sign analysis.
Step 6: Sketch the graph.
II. Determine the inverse of the following functions. Verify that fIf-(x)1 = x and f-If(x)] = x.
a. f(x) = x +9
5-3x
b. f(x) =
c. f(x) =
Transcribed Image Text:I. Sketch the graph of the following functions. Apply the step - by - step process in graphing rational functions. a. f(x) = x+4x+3 b. f(x) =; x+5 (x-2)(x+2) Steps in Graphing Rational Functions Step 1: Factor the numerator and the denominator. Step 2: Find the vertical asymptote by identifying the not common factor to the numerator and denominator and equate to 0. Step 3: Determine if there is a removable discontinuity by identifying the common factor to the numerator and denominator and equate to 0. Step 4: Find the horizontal asymptote, if it exists. Step 5: Use table of values to see the trend of the graph or sign analysis. Step 6: Sketch the graph. II. Determine the inverse of the following functions. Verify that fIf-(x)1 = x and f-If(x)] = x. a. f(x) = x +9 5-3x b. f(x) = c. f(x) =
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