Can someone explain to me why this is not an open parenthesis (-6,infinity)because square root of -6+6 would be zero would be undefined?But the answer is [-6,infinity) but I don't understand why The image displays a mathematical function:\[ f(x) = \sqrt[4]{x} + 6 \]This notation represents a function $ f $ of $ x $, defined as the fourth root of $ x $ plus 6. There are no graphs or diagrams associated with the image.

Name: Can someone explain to me why this is not an open parenthesis (-6,infi
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Description: Can someone explain to me why this is not an open parenthesis (-6,infinity)because square root of -6+6 would be zero would be undefined?But the answer is [-6,infinity) but I don't understand why The image displays a mathematical function:\[ f(x) = \s

Answered: Can someone explain to me why this is…

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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Can someone explain to me why this is not an open parenthesis (-6,infinity)

because square root of -6+6 would be zero would be undefined?

But the answer is [-6,infinity) but I don't understand why

The image displays a mathematical function:

\[ f(x) = \sqrt[4]{x} + 6 \]

This notation represents a function $ f $ of $ x $, defined as the fourth root of $ x $ plus 6. There are no graphs or diagrams associated with the image.

Expert Solution

Step 1

Open parenthesis means that you cannot take that value which is it enclosing. Yes, you can take values just grater for less than that.

For example:

(1,2) means: 1<x<2

you can take all the values in between except 1 and 2.

[1,2) means: $1 \leq x < 2$

you can take exactly 1 and all values in between 1 and 2 but not exactly 2.

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