SOLUTION: Find the inverse of {{{f(x)=2/x}}}

Question 113795: Find the inverse of
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given function

Switch the variables x and f(x)

Now let's solve for f(x)

Multiply both sides by f(x)

Divide both sides by x to solve for f(x)

Now this may seem a bit odd, but the inverse of is itself:

If we graph , we get

note: the red line should be a dotted line

and we can see that if we reflect the curve over the red line we'll get the same line (in other words the curve folds over
itself). So this visually verifies our answer
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