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Mathematics 22 Online
lifewmylilweeb:

i need help

lifewmylilweeb:

lifewmylilweeb:

uhm hello?

lifewmylilweeb:

@extrinix

lifewmylilweeb:

@thisgirlpretty

lifewmylilweeb:

i guess no one is going to help me

lifewmylilweeb:

@joe348

Extrinix:

So it's easier to convert \(f(x)=zx+b\) to inverse than it is to convert \(f^{-1}(x)=zx=b\) Let's start off with \(f(x)=2x-8\) Understand that we need to switch y and x, then solve for y. \(y=2x-8\) Swap them \(x=2y-8\) Now solve the equation, what would you get?

lifewmylilweeb:

\[\frac{ x+8 }{ 2}\]

lifewmylilweeb:

so the first one goes with the second one

Extrinix:

Which would give you \(\dfrac{1}{2}x+4\), which is your inverse Inverse: \(f^{-1}(x)=\dfrac{1}{2}x+4\)

Extrinix:

Correct ^^

Extrinix:

Most teachers don't force you to simplify completely, but knowing how to simplify it completely could help if there's a question that asks for it...

Extrinix:

Anyways, onto #2 \(f(x)=2x+7\) Swap x and y then solve for y, as the other one was \(x=2y+7\) What would you get?

lifewmylilweeb:

Extrinix:

Good job, you're catching the hang of it ^^

lifewmylilweeb:

i think the last one is f(x)=1/x+2

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