Question

If the slope of a strictly decreasing function at the point (a, b) is –4, what is the slope of the inverse of the function at the point (b, a)?

Answer 1

I was trying to figure out if this has anything to do with the point-slope formula, but then I realized it only gives me the slope. So, I'm stomped.

Answer 2

I have a feeling the answer is terribly simple. Like, is there a rule for inverse functions that's going completely over my head right now? Haha

Answer 3

-1/4

Answer 4

I had a feeling. Would it be the same thing if it was, let's say -5? Because then the inverse would be -1/5?

Answer 5

I think so.

Answer 6

But I don't feel. :)
I read it. http://webspace.ship.edu/msrenault/GeoGebraCalculus/derivative_inverse_functions.html

Answer 7

That's actually pretty cool--I'm going to go ahead and play with it for a bit xD. Thank you so much!