and f-¹(x). 1. f(x) 2. f(x) = = 6x 4 3x - 3. f(x) - = 2x - 7 6 – 52 D X 2 . Compute for (f o f¯¹)(x) and (f¨¹ o f)(x) for numbers 1 and 2. V

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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ANSWER 3 USE GEOGEBRA

 

I. Find the inverse of f(x). Determine the domain and range of f(x)
and f-¹(x).
.. f(x)
2. f(x)
1.
= 6x 4
=
-
3x
X 2
—
3. f(x):
=
2x
6 5x
-7
—
-
II. Compute for (f o f¯¹) (x) and (f¨¹ o f)(x) for numbers 1 and 2. What
can you say about the composition of the original function and its
inverse?
III. Using Geogebra, graph each function and its inverse. Describe the
graphs in relation to the function g(x) = x.
Transcribed Image Text:I. Find the inverse of f(x). Determine the domain and range of f(x) and f-¹(x). .. f(x) 2. f(x) 1. = 6x 4 = - 3x X 2 — 3. f(x): = 2x 6 5x -7 — - II. Compute for (f o f¯¹) (x) and (f¨¹ o f)(x) for numbers 1 and 2. What can you say about the composition of the original function and its inverse? III. Using Geogebra, graph each function and its inverse. Describe the graphs in relation to the function g(x) = x.
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