Question

What's the inverse of 7+x^2+tan(pix/2) ?

Answer 1

forget it
is that really the whole question?

Answer 2

or does it have to do with finding the derivative of the inverse?

Answer 3

That's the start of the question, to find the inverse at x=7

Answer 4

well that is a different question
the inverse at \(7\) is 0 because
\[7+0^2+\tan(0)=7\]

Answer 5

in other words,
\[f(0)=7\] by inspection, therefore
\[f^{-1}(7)=0\] by definition of the inverse

don't try to find a general formula for it, you will not

Answer 6

Okay, thanks! Just curious- why could you not find a general formula for it?

Answer 7

try it and see

Answer 8

Fair enough