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elena55 [62]
3 years ago
6

Give an equation for a function whose domain is all non-negative values of x except x=3.

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

f(x)= \dfrac{1}{\sqrt x - \sqrt 3}

Step-by-step explanation:

The square root forces values for x to be positive.

The -√3 causes a divide by zero for x=3, which is not allowed.

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Answer:

Domain: all real numbers

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Step-by-step explanation:

The domain is all x values, and the range is all y values.

<u><em>Domain:</em></u>

The domain is all real numbers except where the slope is undefined (a vertical line). In this case, no number makes the expression undefined, so the domain is:

all real numbers

<u><em>Interval notation:</em></u><em>  </em>(-∞,∞)

all negative numbers and positive numbers (all real numbers)

<em><u>Set-Builder Notation:</u></em> {x | x ∈ R }

<em><u>Range:</u></em>

The range is the set of all valid values. Graph the line and check. Since all values of y are valid, the range is:

all real numbers

<u><em>Interval notation:</em></u><em>  </em>(-∞,∞)

all negative numbers and positive numbers (all real numbers)

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:Done

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