Question

How to find inverses

Answer 1

First an inverse only exists in the subset of the domain of a function where the function is one-to-one. Finally a closed form expression for an inverse does not even always exist. In that case you may need to express it with a power series.

Answer 2

just like ALchemista stated:
To see if an inverse exists:
1) Do the vertical line test to see if it is a function, if it is a function then
2) do the horizontal line test, if it passes the horizontal line test then it is one-to-one and an inverse exist

The steps to find an inverse are:
Step 1: Change f(x) to y
Step 2: switch x and y
Step 3: solve for y
Step 4: sub f^-1(x) for y since f^-1(x) is the official inverse notation

Answer 3

i agree with with precal expecially if u are solving mapping and functions.. but in normal inverse of x = 1/x.. lets say inverse of 3= 1/3..