Consider the two function machines that are placed as shown. Find the final output for each of the following inputs. a. 6 c. √10 e. 500 b. 10 d. 0 f. n a. The output for 6 is (Type an integer or a simplified fraction.) b. The output for 10 is. (Type an integer or a simplified fraction.) c. The output for √10 is. (Type an exact answer, using radicals as needed.) d. The output for 0 is. (Type an integer or a simplified fraction.) f. The output for n is (Simplify your answer 5 e. The output for is (Type an integer or a simplified fraction.) f(x)=10x f(x) g(x)=x-3 gof)(x)
Consider the two function machines that are placed as shown. Find the final output for each of the following inputs. a. 6 c. √10 e. 500 b. 10 d. 0 f. n a. The output for 6 is (Type an integer or a simplified fraction.) b. The output for 10 is. (Type an integer or a simplified fraction.) c. The output for √10 is. (Type an exact answer, using radicals as needed.) d. The output for 0 is. (Type an integer or a simplified fraction.) f. The output for n is (Simplify your answer 5 e. The output for is (Type an integer or a simplified fraction.) f(x)=10x f(x) g(x)=x-3 gof)(x)
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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**Function Machines and Outputs**
Consider the two function machines that are placed as shown. Find the final output for each of the following inputs:
Inputs:
a. 6
b. 10
c. \(\sqrt{10}\)
d. 0
e. \(\frac{5}{8}\)
f. \(n\)
**Image Explanation:**
The diagram on the right consists of two function machines connected in sequence.
1. The first machine represents the function \( f(x) = 10x \).
2. The output of the first machine, \( f(x) \), is then the input for the second machine, which represents the function \( g(x) = x - 3 \).
3. The final output is represented as \( g(f(x)) \).
**Outputs:**
a. The output for 6 is [____].\
(Type an integer or a simplified fraction.)
b. The output for 10 is [____].\
(Type an integer or a simplified fraction.)
c. The output for \(\sqrt{10}\) is [____].\
(Type an exact answer, using radicals as needed.)
d. The output for 0 is [____].\
(Type an integer or a simplified fraction.)
e. The output for \(\frac{5}{8}\) is [____].\
(Type an integer or a simplified fraction.)
f. The output for \(n\) is [____].\
(Simplify your answer.)
---
For additional explanations and practice questions, please refer to the function machine exercise section of our website.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F893c97d9-09c7-4f3e-b188-bcf1f5d21bb1%2F43ce2b18-5fbc-4826-8519-587bd374b8fa%2Fe8h7wkc_processed.png&w=3840&q=75)
Transcribed Image Text:---
**Function Machines and Outputs**
Consider the two function machines that are placed as shown. Find the final output for each of the following inputs:
Inputs:
a. 6
b. 10
c. \(\sqrt{10}\)
d. 0
e. \(\frac{5}{8}\)
f. \(n\)
**Image Explanation:**
The diagram on the right consists of two function machines connected in sequence.
1. The first machine represents the function \( f(x) = 10x \).
2. The output of the first machine, \( f(x) \), is then the input for the second machine, which represents the function \( g(x) = x - 3 \).
3. The final output is represented as \( g(f(x)) \).
**Outputs:**
a. The output for 6 is [____].\
(Type an integer or a simplified fraction.)
b. The output for 10 is [____].\
(Type an integer or a simplified fraction.)
c. The output for \(\sqrt{10}\) is [____].\
(Type an exact answer, using radicals as needed.)
d. The output for 0 is [____].\
(Type an integer or a simplified fraction.)
e. The output for \(\frac{5}{8}\) is [____].\
(Type an integer or a simplified fraction.)
f. The output for \(n\) is [____].\
(Simplify your answer.)
---
For additional explanations and practice questions, please refer to the function machine exercise section of our website.
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