Question

Identify the restrictions on the domain of f(x) = quantity x plus 5 over quantity x minus 2.

Answer 1

For this case we must find the domain of the following function:

$f (x) = \frac {x + 5} {x-2}$

By definition, the domain of a function is given by all the values for which the function is defined. The given function is not defined when the denominator is zero, that is:

$x-2 = 0\\x = 2$

Thus, the domain of the function is given by real numbers except 2.

Answer:

All real numbers except 2