Identify the restrictions on the domain of f(x) = x+2/x-3 x≠-2 x≠2 x≠-3 x≠3

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

4 0

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.

_____

Please note that parentheses are required around numerators and denominators when a rational function is written in plain text. When it is typeset:

$f(x)=\dfrac{x+2}{x-3}$

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.

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