- #1

Schaus

- 118

- 5

## Homework Statement

Where are the following functions discontinuous?

f(x) = (x+2)/√((x+2)x)

## Homework Equations

## The Attempt at a Solution

f(x) = (x+2)/√((x+2)x)

= (x+2)/x√(2x) multiply both denominator and numerator by √(2x)

= (x√2+2√x)/(x(2x))

Can I leave it like this and state that x ≠ 0, or have I gone horribly wrong? Otherwise, I'm a little lost. The other questions similar to this that I have done usually consist of factoring out and cancelling a binomial in the numerator with a binomial in the denominator.

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