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Chapter 4: Q. 19 (page 225)

Find the domain of the rational function.

Rx=xx3-8

Short Answer

Expert verified

The domain of the given function is -鈭�鈥�,鈥�2鈭�2,鈥�鈭�鈥�

Step by step solution

01

Step 1. Given information

The given function isR(x)=xx3-8

02

Step 2. Find the domain  

For the domain, the denominator should not be equal to zero.

so,

x3-8鈮�0x3-23鈮�0x鈮�2

Thus, the domain of the given function is all real numbers except 2.

Therefore, the domain is

鈥�-鈭�鈥�,鈥�2鈭�2,鈥�鈭�鈥�

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Most popular questions from this chapter

In Problems 39鈥�56, find the real zeros of f. Use the real zeros to factor f.

f(x)=4x4+7x2-2

Find the real zeros of f. Use the real zeros to factor f. f(x)=x4+x3-3x2-x+2

Find the domain of the rational function.

R(x)=5x23+x

Use the Factor Theorem to prove that x+c is a factor of

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