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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

If f(x) = x2 + 2x − 1 and g(x) = 2x − 3, find each of the following functions.

  1. (a) fg
  2. (b) gf
  3. (c) ggg

a)

To determine

To find: The value of fg.

Explanation

Given;

The functions are f(x)=x2+2x1 and g(x)=2x3.

Calculation:

Consider the given functions f(x)=x2+2x1 and g(x)=2x3.

The composition of the functions is,

fg=f(g(x))

Substitute g(x)=2x3 in f(g(x)) to find the value of fg,

f(g(x))=f(2

b)

To determine

To find: The value of gf.

c)

To determine

To find: The value of ggg.

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