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Mathematics 11 Online
OpenStudy (inowalst):

Inverse function.

OpenStudy (inowalst):

\[f(x)=5x+7-2\]\[f ^{-1}(y)\]

OpenStudy (inowalst):

@dan815 Can you help?

OpenStudy (dan815):

inverse is b asically

OpenStudy (dan815):

a reverse of functions to arrive at input from output

OpenStudy (dan815):

reverse of operations*

OpenStudy (inowalst):

So instead of subtract, addition, and so on..?

OpenStudy (dan815):

ok first simplify ur expression for f(X)

OpenStudy (dan815):

f(x)=5x+7-2 =5x+5

OpenStudy (dan815):

y=5x+5

OpenStudy (dan815):

lets see order of operations

OpenStudy (inowalst):

PEMDAS?

OpenStudy (dan815):

you multiply x by 5 then u add by 5

OpenStudy (dan815):

revese to go back

OpenStudy (dan815):

let me give u a simple example to visualize

OpenStudy (dan815):

i told you hey dude! i know all kinds of durty filthy magic I hold in my hand an 1 apple u will duplicate it to get 3 apples then i will add 2 apples to it and give it to you so you have 5 apples iif you want to know how many apples i started with you would be like okay ill take away the 2 apples he added and divide by 3 because he duplicated by 3 so (5-2)/3=1

OpenStudy (inowalst):

Okay.

OpenStudy (dan815):

do the same thing to y=5x+5 the last thing we do to x is the first thing we do the opposite of

OpenStudy (dan815):

5*x +5 multiply by 5 and add 5 going back is -5 and divide by 5

OpenStudy (dan815):

y=5x+5 (y-5)/5=x

OpenStudy (inowalst):

Oh okay. So (y-5)/5=x is the inverse of f(x)=5x+7-2 ?

OpenStudy (dan815):

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