Hey guys, I've been working on the topic of monotonicity, and I've got a bit of a grasp on using the definitions of strictly/monotonically increasing/decreasing to show which category a function falls into, but this one is slipping me, because it's not so much a composite function as a modification of an existing function...

I want to say that the monotonicity is reverse and that is monotonically increasing, because with reciprocal functions, where was small, will be large, and where was large, will be small.Quote:

Given that is negative and monotonically decreasing, what can be said about the monotonicity of: ?

If that's even right, I'm not sure how to write the proof when I only have the definition in terms of 1 function, .

Any ideas?