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Algebra Videos 351 videos

Simplifying Radicals
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We don't like knocking people down to size, but we do like simplifying radicals. Join us?

Arithmetic Math
2248 Views

If fleeing criminals always fled the scene of the crime at perfect right angles, it would be much easier to determine their whereabouts. Fortunatel...

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Finding Inverses of Functions Algebraically 889 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

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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