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Find the domain and express the domain in interval notation. its only for the top two problems.

Find the domain and express the domain in interval notation. its only for the top-example-1

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Question:

find the domain and express the domain in interval notation.


g(x)\text{ = }\sqrt[]{7-x}

Solution:

Since we have a square root. Then the part inside the square root must be positive, that is:


7\text{ -x}\ge0

this is equivalent to:


\text{ -x}\ge-7

this is equivalent to:


\text{ x }\leq7

then, the domain of this function is :


(\infty,7\rbrack

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