Problem 23
Page 122
Section 2.4: Continuity
Chapter 2: Limits and Derivatives
Given information
The provided function is 
.
Step-by-step explanation
Take the help of theorem 7 which states that the function which falls in the category of polynomials and roots represents the continuous functions. Write the continuous functions.
, 
Now, take the help of theorem 9 according to this theorem the composition of two functions will represent a continuous function if those two functions represents the continuous functions. Write the continuous function.
Use the property of obtained function that the value of t is less than and equal to 1 so this will result in that obtained polynomial will be less than and equal to 0. Both variable and polynomial are not positive which results in that obtained logarithmic function is not able to states its definition. Write the required domain.
Single Variable Calculus: Early Transcendentals
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3a
- Problem 3b
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 9a
- Problem 9b
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 10d
- Problem 10e
- Problem 11
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 31E
- Problem 32
- Problem 33
- Problem 34
- Problem 34E
- Problem 35
- Problem 36
- Problem 37a
- Problem 37b
- Problem 37c
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45a
- Problem 45b
- Problem 46a
- Problem 46b
- Problem 47a
- Problem 47b
- Problem 48a
- Problem 48b
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54a
- Problem 54b
- Problem 54c
- Problem 55