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Finding Inverses of Functions Algebraically 899 Views
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Transcript
- 00:00
Thank you We sneak in finding in verses of functions
- 00:06
algebraic lee allah shmoop if you're not the biggest fan
- 00:10
of functions well maybe we'll have the opposite feeling about
- 00:12
their inverse is because he had an inverse is basically
- 00:15
the opposite of an original functions While the function might
Full Transcript
- 00:19
have an input x and an outright lie that functions
- 00:23
in verse would have an output value acts for an
- 00:26
input value Why Okay so how would we find one
- 00:30
of these things Algebraic lee Well let's say we've got
- 00:32
the function y equals three x minus seven Well the
- 00:36
easiest way to find the inverse is to take this
- 00:38
equation Get x all by itself then full deals which
- 00:41
ruined x and y and so it had seven both
- 00:44
sides to get y plus seven equals to react Then
- 00:48
divide both sides by three to get x equals y
- 00:50
plus seven put it all over three and finally replaced
- 00:54
the x with y and y with x to get
- 00:56
y equals x plus seven all over three and there's
- 01:00
our inverse of the original function We can test it
- 01:03
out by plugging in some values for examples if in
- 01:06
the original function We plug in free for acts Why
- 01:10
would come out to two If our inverse is accurate
- 01:13
we should be able to plug in two for acts
- 01:17
and get three for why Well things might get a
- 01:20
little hairy when you're dealing with more complicated functions But
- 01:23
the same basic principle works Solve for x and then
- 01:27
switch the places of x and y he's kicking Yeah
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