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## Homework Statement

We started piecewise functions in calculus and I'm finding it rather difficult. This question has had me stumped for a while. I'm quite well at finding domain and range, however :).

For what value of k is the following a continuous function

## Homework Equations

[tex]f(x)= \frac {x-2}{\sqrt {7x+2} -\sqrt{6x+4}} [/tex] [tex] if x \geq {\frac{-2}{7}}

and x \neq 2[/tex]

f(x) = k, if x=2

I hope this makes sense.

## The Attempt at a Solution

The problem I am having is how I can find k - the constanst. I can't [tex]\frac {x-2}{\sqrt {7x+2} -\sqrt{6x+4}} = k [/tex] since k cannot equal to 2.