Question

How do I tell if f(x)=2+1/x is invertible or not?

Answer 1

find it out

Answer 2

Or any function for that matter, I just don't know the steps.

Answer 3

replace x = \(f^{-1}(x)\) and f(x) =x, what do you have?

Answer 4

HI!!

Answer 5

one way to do it is to go ahead and find the inverse

Answer 6

if you can find it, it is invertible

Answer 7

another way is to graph and see if it passes the horizontal line test

Answer 8

replace x with x=2+1/y?

Answer 9

another way it to write \[2+\frac{1}{a}=2+\frac{1}{b}\]and see if, by algebra, you can prove \(a=b\) that is the definition of a one to one function

Answer 10

yeah that is how you find the inverse
solve
\[x=2+\frac{1}{y}\] for \(y\) should take only two steps

Answer 11

Got y=1/(x-2)

Answer 12

me too