I'm learning one to one functions in class now and i had a few questions that i'm a bit lost in =/
I have a problem in the book that says to use the Inverse Function property to show that f and g are inverses of each other.
The first question is
f(x) = x - 6, g(x) = x + 6
Well I did two different ways other than using the Inverse Function property
First I picked a random x value for f using 2. So f(2) = x - 6 which is -4.
Next I plugged in -4 to g(x) to get -4 + 6 which is 2. So this shows they are inverses.
The second method I used was, i just found the inverse function of f(x) = x - 6
y = x - 6
y + 6 = x
x + 6 = y which shows it is also inverse. My question is how do i use the Inverse Function property to check? Thanks