BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.1, Problem 50E
To determine

Find the domain of the function f(x)=x4x2+x6

Expert Solution

Answer to Problem 50E

The domain of the function f(x)=x4x2+x6 is (,3)(3,2)(2,)

Explanation of Solution

Given information: Consider the function f(x)=x4x2+x6

Calculation:

A rational expression is not defined when the denominator is 0.

Since x2+x60x2+3x2x60(x+3)(x2)0

  x2,x3

Hence the given function is defined for all the values of x in the set of real numbers except of the value x=3,x=2.

Thus, the domain of the function f(x)=x4x2+x6 is (,3)(3,2)(2,)

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