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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.

31. f ( x ) = x + 4 x 2 9

To determine

To find: The domain of the function.

Explanation

Given:

The function f(x)=x+4x29 .

Calculation:

The domain is the set of all input values of the function for which the function is real and defined.

Consider the denominator of the function f(x) and equate to zero to obtain the undefined points.

Since the denominator of the function is x29 , the undefined points are obtained from x29=0 .

Add 9 on both sides of the equation.

x29+9=0+9x2=9x=±3

Thus, the solutions are, x=3 and x=3

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