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12 votes
12 votes
What's the domain of the function?

please i need this the soon as possible... ​

What's the domain of the function? please i need this the soon as possible... ​-example-1
User Xph
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2 Answers

21 votes
21 votes
The surd ( numerator or top line) is defined for all real values of s greater or equal to 4.
When s is less than 4, (s - 4) will be negative and the square root is undefined in real numbers.

The denominator or bottom line is defined for all real values EXCEPT s = 4.
When s = 4 you will be dividing by zero which is undefined.

Taking these together f(s) is defined for all values of s greater than 4.
Therefore the domain for real numbers is s > 4

The domain for complex numbers is s <> 4 because square roots of negatives exist in that set.
User Vadim Popov
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3.0k points
16 votes
16 votes
S-4 is equal to 4 just the main one
User Sandor Davidhazi
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2.8k points
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