6. 2х — 7 H(x) .2 х? + 3,

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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Calculate H'(x)

The function \( H(x) \) is defined as:

\[ H(x) = \left( \frac{2x - 7}{x^2 + 3} \right)^6 \]

This expression represents a rational function raised to the power of 6. The numerator of the fraction is \( 2x - 7 \), and the denominator is \( x^2 + 3 \). The entire fraction is then raised to the sixth power, indicating significant transformation of input values as they pass through this function.
Transcribed Image Text:The function \( H(x) \) is defined as: \[ H(x) = \left( \frac{2x - 7}{x^2 + 3} \right)^6 \] This expression represents a rational function raised to the power of 6. The numerator of the fraction is \( 2x - 7 \), and the denominator is \( x^2 + 3 \). The entire fraction is then raised to the sixth power, indicating significant transformation of input values as they pass through this function.
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