a) f(x) = [(x + =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Can anyone please help me with question 69 a and b? I am stuck on it?
![10 K.
66. Draw the graph of the function/(x) = [x/2] 1181
67. Draw the graph of the function f(x) = [x] + [x/2] from
R to R.
68. Draw the graph of the function f(x) = [x] + [x/2] from
R to R.
69. Draw graphs of each of these functions.
a) f(x) = [x + ]
c) f(x) = [x/3]
e) f(x) = [x2] + [x+2]
f) f(x) = [2x][x/2]
b) f(x) = (2x + 1]
d) f(x) = [1/x]
g) f(x) = [[x] +1
70. Draw graphs of each of these functions.
a) f(x) = [3x - 2]
c) f(x) = [-1/x]
e) f(x) = [x/2][x/2]
g) f(x) = [2 [x/21 +1
b) f(x) = [0.2x]
d) f(x) = [x²]
f) f(x) = [x/2] + [x/2]
71. Find the inverse function of f(x) = x³ + 1.
72. Suppose that f is an invertible function from Y to Z and
g is an invertible function from X to Y. Show that the
inverse of the composition fog is given by (fog)-¹ =
g-¹ of ¹.
73. Let S be a subset of a universal set U. The character-
istic function fs of S is the function from U
set
function
a) f: Z
b) f: Z
c) f: Z
d) f: Z
e) f: Z
80. a) Sho
as a
eler
b) Usi
resp
81. a) Sha
pos
den
b) Sho
mer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99d15f92-0bff-4b4d-a47e-2ac33d144271%2Ff5d2275f-11ac-4142-9593-d3b361f8837a%2Fts2ikf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10 K.
66. Draw the graph of the function/(x) = [x/2] 1181
67. Draw the graph of the function f(x) = [x] + [x/2] from
R to R.
68. Draw the graph of the function f(x) = [x] + [x/2] from
R to R.
69. Draw graphs of each of these functions.
a) f(x) = [x + ]
c) f(x) = [x/3]
e) f(x) = [x2] + [x+2]
f) f(x) = [2x][x/2]
b) f(x) = (2x + 1]
d) f(x) = [1/x]
g) f(x) = [[x] +1
70. Draw graphs of each of these functions.
a) f(x) = [3x - 2]
c) f(x) = [-1/x]
e) f(x) = [x/2][x/2]
g) f(x) = [2 [x/21 +1
b) f(x) = [0.2x]
d) f(x) = [x²]
f) f(x) = [x/2] + [x/2]
71. Find the inverse function of f(x) = x³ + 1.
72. Suppose that f is an invertible function from Y to Z and
g is an invertible function from X to Y. Show that the
inverse of the composition fog is given by (fog)-¹ =
g-¹ of ¹.
73. Let S be a subset of a universal set U. The character-
istic function fs of S is the function from U
set
function
a) f: Z
b) f: Z
c) f: Z
d) f: Z
e) f: Z
80. a) Sho
as a
eler
b) Usi
resp
81. a) Sha
pos
den
b) Sho
mer
![04. Draw the g
65. Draw the graph of the function f(x)= [2x] from R
to R.
66. Draw the graph of the function f(x) = [x/2] from R to R.
67. Draw the graph of the function f(x) = [x] + [x/2] from
R to R.
68. Draw the graph of the function f(x) = [x] + [x/2] from
R to R.
69. Draw graphs of each of these functions.
a) f(x) = [x+]
c) f(x) = [x/3]
e) f(x) = [x2] + x + 2]
f) f(x) = [2x] [x/2]
b) f(x) = [2x + 1]
d) f(x) = [1/x]
g) f(x) = [[x] + 1
70. Draw graphs of each of these functions.
a) f(x) = [3x - 21
c) f(x) = [-1/x]
e) f(x) = [x/21 [x/2]
g) f(x) = [2 [x/21 +1
b) f(x) = [0.2x]
d) f(x) = [x²]
f) f(x) = [x/2] + [x/2]
71. Find the inverse function of f(x) = x³ + 1.
72. Suppose that f is an invertible function from Y to Z and
79. For
codo
whie
func
a)
80. a)
b)
81. a)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99d15f92-0bff-4b4d-a47e-2ac33d144271%2Ff5d2275f-11ac-4142-9593-d3b361f8837a%2F8hzzp54_processed.jpeg&w=3840&q=75)
Transcribed Image Text:04. Draw the g
65. Draw the graph of the function f(x)= [2x] from R
to R.
66. Draw the graph of the function f(x) = [x/2] from R to R.
67. Draw the graph of the function f(x) = [x] + [x/2] from
R to R.
68. Draw the graph of the function f(x) = [x] + [x/2] from
R to R.
69. Draw graphs of each of these functions.
a) f(x) = [x+]
c) f(x) = [x/3]
e) f(x) = [x2] + x + 2]
f) f(x) = [2x] [x/2]
b) f(x) = [2x + 1]
d) f(x) = [1/x]
g) f(x) = [[x] + 1
70. Draw graphs of each of these functions.
a) f(x) = [3x - 21
c) f(x) = [-1/x]
e) f(x) = [x/21 [x/2]
g) f(x) = [2 [x/21 +1
b) f(x) = [0.2x]
d) f(x) = [x²]
f) f(x) = [x/2] + [x/2]
71. Find the inverse function of f(x) = x³ + 1.
72. Suppose that f is an invertible function from Y to Z and
79. For
codo
whie
func
a)
80. a)
b)
81. a)
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