Concept explainers
If f(x) = x2 + 2x − 1 and g(x) = 2x − 3, find each of the following functions.
- (a) f ∘ g
- (b) g ∘ f
- (c) g ∘ g ∘ g
a)
To find: The value of
Answer to Problem 7CDT
The value of
Explanation of Solution
Given;
The functions are
Calculation:
Consider the given functions
The composition of the functions is,
Substitute
Substitute
Thus, the value of
b)
To find: The value of
Answer to Problem 7CDT
The value of
Explanation of Solution
Given;
The functions are
Calculation:
Consider the given functions
The composition of the functions is,
Substitute
Substitute
Thus, the value of
c)
To find: The value of
Answer to Problem 7CDT
The value of
Explanation of Solution
Given;
The functions are
Calculation:
Consider the given functions
The composition of the functions is,
Substitute
Substitute
Substitute
Thus, the value of
Chapter T Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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