Question

If f(x) = 2x2 +5/(x-2), complete the following statement:

Answer 1

For this case we have the following function:

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

By definition, we have that 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.

So:

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

Thus, the function is not defined at $x = 2.$

The domain is given by all real numbers except 2.

Answer:

The domain is given by all real numbers except 2.