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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

Find the domain of the function.

  1. (a) f ( x ) = 2 x + 1 x 2 + x 2
  2. (b) g ( x ) = x 3 x 2 + 1
  3. (c) h ( x ) = 4 x + x 2 1

(a)

To determine

To find: The domain of the function f(x)=2x+1x2+x2.

Explanation

Formula used:

Domain: The set of all possible values of the independent variables in a function is called the domain of the function.

Calculation:

Consider the given function f(x)=2x+1x2+x2.

The function is not defined if the denominator of the function equals to 0.

The denominator of the function f(x)=2x+1x2+x2 is x2+x2.

Thus,

x2+x2=0(x+2)(x1)=0

Therefore, the function f(x)=2x+

(b)

To determine

To find: The domain of the function g(x)=x3x2+1.

(c)

To determine

To find: The domain of the function h(x)=4x+x21.

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