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8th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781305270336

Chapter 1.3, Problem 40E

Textbook Problem

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Find *f* ◦ *g* ◦ *h.*

**40.** *f*(*x*) = |*x* – 4|, *g*(*x*) = 2* ^{x}*,

To determine

**To find:** The function

**Given:**

The functions are

**Definition used:**

Let *f* and *g* be two functions. Then their composition

**Calculation:**

The composite function

First find the composite function

The composite function

Substitute *x* in

Single Variable Calculus: Early Transcendentals

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Draw the graphs of the...Ch. 1 - Use transformations to sketch the graph of the...Ch. 1 - Use transformations to sketch the graph of the...Ch. 1 - Use transformations to sketch the graph of the...Ch. 1 - Use transformations to sketch the graph of the...Ch. 1 - Use transformations to sketch the graph of the...Ch. 1 - Use transformations to sketch the graph of the...Ch. 1 - Determine whether f is even, odd, or neither even...Ch. 1 - Find an expression for the function whose graph...Ch. 1 - If f(x) = In x and g(x) = x2 9. find the...Ch. 1 - Express the function F(x)=1/x+x as a composition...Ch. 1 - A small-appliance manufacturer finds that it costs...Ch. 1 - If f(x) = 2x + In x, find f1(2).Ch. 1 - Find the inverse function of f(x)=x+12x+1.Ch. 1 - Find the exact value of each expression. 64. (a)...Ch. 1 - Solve each equation for x. 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For the first half...Ch. 1 - Is it true that f(g+h)=fg+fh?Ch. 1 - Prove that if n is a positive integer, then 7n 1...Ch. 1 - Prove that 1 + 3 + 5 + + (2n l ) = n2.Ch. 1 - If fo(x) = x2 and fn+1(x) = fo(fn(x)) for n = 0,...Ch. 1 - (a) If fo(x)=12x and fn+1=fofnforn=0,1,2,, find an...

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Cylindrical-to-Spherical ConversionIn Exercises 5964, convert the point from cylindrical coordinates to spheric...

Multivariable Calculus

The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the se...

Statistics for Business & Economics, Revised (MindTap Course List)

Without using a calculator, which function is greater, cos 2429' or cos 4412?

Mathematics For Machine Technology

Getting Ready You should be able to complete these vocabulary and concept statements before you proceed to the ...

College Algebra (MindTap Course List)

A breeder of show dogs is interested in the number of female puppies in a litter. If a birth is equally likely ...

Introduction To Statistics And Data Analysis

What is the general purpose for using a simulation or a field study for experimental research?

Research Methods for the Behavioral Sciences (MindTap Course List)

Identify the circumstances in which it is useful to write a research proposal before conducting the actual rese...

Research Methods for the Behavioral Sciences (MindTap Course List)

Using the Trapezoidal Rule and Simpson's Rule In Exercises 4548, approximate the definite integral using the Tr...

Calculus (MindTap Course List)

In Exercises 29-36, translate the two statements into symbolic form and use truth table to determine whether th...

Mathematics: A Practical Odyssey