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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![The image contains the following mathematical expression, which appears to be a function notation, possibly from a calculus or algebra context.
**Expression:**
\[ 67. \, h(x) = \left( \frac{x-3}{x^2+1} \right)^2 \]
**Explanation:**
The expression defines a function \( h(x) \) which takes the variable \( x \) and applies the operation within the parentheses. The operation involves a division of two expressions: the numerator \((x-3)\) and the denominator \((x^2+1)\). The result of this division is then squared, as indicated by the exponent 2 outside the parentheses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5b7424e-5083-4ce8-880e-18d5af988e6c%2F395c43ac-5b71-4cf8-ac4b-a6f9ec16dfc5%2Fhq5bm4h.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains the following mathematical expression, which appears to be a function notation, possibly from a calculus or algebra context.
**Expression:**
\[ 67. \, h(x) = \left( \frac{x-3}{x^2+1} \right)^2 \]
**Explanation:**
The expression defines a function \( h(x) \) which takes the variable \( x \) and applies the operation within the parentheses. The operation involves a division of two expressions: the numerator \((x-3)\) and the denominator \((x^2+1)\). The result of this division is then squared, as indicated by the exponent 2 outside the parentheses.
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