Given: f(x)=4x-10 and g(x)=√x-6 Determine the following: (f-g)(10)=0 (HM)={ (fog)(7)=O -O (gf)(6) = O (15)=O 0014 g (gof)(5)=

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Evaluate the function operations indicated for the given functions.**

If needed, enter the values as a **simplified fraction**. (Examples: 1/2, -14/3)

If any operation is undefined for the value of x indicated, type **und** for your answer.

---

Given: \( f(x) = 4x - 10 \) and \( g(x) = \sqrt{x - 6} \)

Determine the following:

1. \( (f-g)(10) = 0 \)
2. \( (g \circ f)(6) = 2 \)
3. \( \left( \frac{f}{g} \right)(1) = \text{und} \)
4. \( \left( \frac{g}{f} \right)(15) = \frac{1}{2} \)
5. \( (f \circ g)(7) = 6 \)
6. \( (g \circ f)(5) = \text{und} \)

Note: In each problem, make sure to check for the domain of each function and any operation to determine if it's undefined.
Transcribed Image Text:**Evaluate the function operations indicated for the given functions.** If needed, enter the values as a **simplified fraction**. (Examples: 1/2, -14/3) If any operation is undefined for the value of x indicated, type **und** for your answer. --- Given: \( f(x) = 4x - 10 \) and \( g(x) = \sqrt{x - 6} \) Determine the following: 1. \( (f-g)(10) = 0 \) 2. \( (g \circ f)(6) = 2 \) 3. \( \left( \frac{f}{g} \right)(1) = \text{und} \) 4. \( \left( \frac{g}{f} \right)(15) = \frac{1}{2} \) 5. \( (f \circ g)(7) = 6 \) 6. \( (g \circ f)(5) = \text{und} \) Note: In each problem, make sure to check for the domain of each function and any operation to determine if it's undefined.
Expert Solution
Step 1: Define the problem

The given functions are f open parentheses x close parentheses equals 4 x minus 10 and g open parentheses x close parentheses equals square root of x minus 6 end root

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