Answer:
x ≠ 3
Step-by-step explanation:
The denominator of ...
f(x) = (x+2)/(x -3)
is zero when x=3, so the function is not defined there. Values of x for which the function is not defined are not part of the domain.
The restriction is: x ≠ 3.
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Please note that parentheses are required around numerators and denominators when a rational function is written in plain text. When it is typeset:

the division bar serves as a grouping symbol. In plain text, we cannot tell where numerator and denominator begin and end unless some other grouping symbol (parentheses) is used.
9514 1404 393
Answer:
- domain: (-∞, 3]
- range: (-∞, ∞)
Step-by-step explanation:
The focus is to the left of the vertex, so the parabola opens to the left. The domain is all values of x less than or equal to 3: (-∞, 3].
The vertical extent of the graph is <em>all real numbers</em>, so the range is (-∞, ∞).
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The graph shows the focus and directrix as well as the parabola.