Find the indicated function and write its domain in interval notation.
m(x) = sq. root of x-4, n(x) = x - 2, (m o n)(x)=?

Question

Find the indicated function and write its domain in interval notation. 
m(x) = sq. root of x-4, n(x) = x - 2, (m o n)(x)=?

mathmale · Answer

You are to create a "composite function" here.  Where you see 'x' in m(x)=sqrt(x+4), replace it with n(x)=x-2.  Please show your work.

anonymous · Answer

Okay, so I have so far m(n(x)) = x - 2 ?

anonymous · Answer

So (m o n)(x) = m(n(x)) = x - 2

anonymous · Answer

Oh wait. Maybe it would be square root of x-2 then -4

anonymous · Answer

x cannot equal 2 correct?

anonymous · Answer

your answer is correct!

anonymous · Answer

Okay great! is the -4 under the radicand as well?

anonymous · Answer

And if the -4 is under the radicand, would I then just do the math -2-4 to get x-6?

anonymous · Answer

I am also unsure of how to write the interval notation.