d) h(x) = Vx3 + 4x² + 1. %3D

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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**Question 3**

Find two functions \( f(x) \) and \( g(x) \) so that \( h(x) = (f \circ g)(x) \).

a) \( h(x) = (2x + 3)^2 \).

b) \( h(x) = |3 - 2x - x^2| \).

c) \( h(x) = \frac{5}{\sqrt{3 - x}} \).

d) \( h(x) = \sqrt[5]{x^3 + 4x^2 + 1} \).
Transcribed Image Text:**Question 3** Find two functions \( f(x) \) and \( g(x) \) so that \( h(x) = (f \circ g)(x) \). a) \( h(x) = (2x + 3)^2 \). b) \( h(x) = |3 - 2x - x^2| \). c) \( h(x) = \frac{5}{\sqrt{3 - x}} \). d) \( h(x) = \sqrt[5]{x^3 + 4x^2 + 1} \).
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