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So, how do we check to see if two
functions are inverses of each other?
Well, we learned before that we can
look at the graphs. Remember, if the two graphs are symmetric
with respect to the line y = x
(mirror images over y = x
), then they are inverse functions.
But, we need a way to check
without the graphs, because we won't always know what the graphs
look like!
So, just crunching some Algebra,
here's one way to look at it:
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If you're got two functions,
f(x)
and g(x),
and
then
f(x)
and g(x)
are inverse functions.
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Let's try this on an
easy one that we know will work:
 |
and |
 |
So, |
 |
and |
 |
Yep, they are inverses, just
like we thought!
Continued on the
next
page
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