To calculate : The domain of the expression \frac{1}{\sqrt[3]{x+6}}

Wierzycaz

Wierzycaz

Answered question

2021-08-11

To calculate : The domain of the expression 1x+63
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Answer & Explanation

Laith Petty

Laith Petty

Skilled2021-08-12Added 103 answers

Calculation:

2021-12-24

Step 1

Formula: The domain is the set of all possible values for which a particular expression gives a real values.

Use the property of rational exponent

x(1n)=xn

From the property of rational exponent, the given expression can be write as,

x+63=(x+6)13

The term (x+6)13 gives real value when the value of x lie in between from to

Since, the expression 1x+63 is not defined at x=6

Expect x=6, provided expression defined for all number

Hence, the domain of the expression 1x+63 is (,6) and (6,)

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