Question

what is the domain of 1/ (X-square root of 2) ?

Answer 1

Is it \(\large \frac{1}{x-\sqrt{2}}?\)

Answer 2

\[1 \over x - \sqrt{2}\]what value of x makes the denominator equal to zero?

Answer 3

yes and i have no idea eashmore

Answer 4

As eashmore said, you have to find the value that makes the denominator zero, that is
\[x-\sqrt{2}=0 \implies x=\sqrt{2}.\]

Answer 5

Now, the domain is real numbers except that point at which the denominator is zero. So the domain is \((-\infty,\infty)-\{\sqrt{2}\}\).

Answer 6

thanks man

Answer 7

After we find what values make the denominator equal to zero, we know that x can equal any other value because\[{1 \over 0}\]is undefined.