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Finding Inverses of Functions Algebraically 899 Views


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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

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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