The domain of a function are the possible input values of the function.
<em>The domain of the function is (d) Whole numbers</em>
First, we identify the start and end values of x on the graph.
We have:
The graph has no end; so:
This means that the domain of the graph is
The number of times one can visit the pool cannot be decimal.
Hence, the domain of the function is whole numbers
Read more about domain at:
Answer:
B. f(x) = 3/(x^2 +2x +1)
E. f(x) = 5/(3+x)
Step-by-step explanation:
The above functions have denominators that are zero at one point. For B, that point is x=-1; for E, that point is x=-3. When the denominator is zero, the function is undefined, so the corresponding x-value must be excluded from the domain.
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As written, choice D also qualifies. This is because the function written in the answer list here is ...
It will be undefined for x=0.
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<em>Comment on writing rational functions</em>
When the division symbol (/ or ÷) is used with a denominator that is a product or sum, that product or sum must be enclosed in parentheses. When the expression is typeset, the division bar acts as a grouping symbol. When the expression is written in text, a grouping symbol, such as parentheses, must be added.