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Mathematics 16 Online
OpenStudy (anonymous):

help please

OpenStudy (anonymous):

\[F(x)=8x+3\]\[F(x)=8(x-3)\]\[F(x)=8x-3\]\[F(x)=8(x+3)\]

OpenStudy (anonymous):

which of the following is the function F(x) if \[F ^{-1}(y)=\frac{ y }{ 8 }+3\]

OpenStudy (anonymous):

@e.mccormick can you help me again please

OpenStudy (anonymous):

@robtobey can you help?

OpenStudy (e.mccormick):

Ah, they gave you the inverse. Know how to invert it again?

OpenStudy (anonymous):

no i dont sadly

OpenStudy (e.mccormick):

\(F ^{-1}(y)=\frac{ y }{ 8 }+3\) becomes: \(x=\frac{ y }{ 8 }+3\) Now solve for y=bla

OpenStudy (anonymous):

im lost

OpenStudy (anonymous):

what dose the bla stand for?

OpenStudy (e.mccormick):

I just put it there because until you solve it you won't know which equation it is. When they say "solve for" know what it means?

OpenStudy (anonymous):

no :(

OpenStudy (e.mccormick):

OK. Let me do an example: \(2x+4y-6=0\) Lets say I want that in Slope Intercept form: \(y=mx+b\). To do that, I solve for y. \(2x+4y-6=0\) \(2x+4y-6+6=0+6\) \(2x+4y=6\) \(2x-2x+4y=-2x+6\) \(4y=-2x+6\) \(4y/4=(-2x+6)/4\) \(y=-2x/4+6/4\) \(y=-1/2x+3/2\) That is the sort of thing "solve for" means.

OpenStudy (anonymous):

oh ok so what do i need to solve y

OpenStudy (e.mccormick):

It is the reverse of PEMDAS. First, whatever was added you subtract, hatever was subtracted you add. Then whatever was multiplied you divide, etc. The goal is to get y alone on one side of the = and everything else on the other.

OpenStudy (e.mccormick):

So, for this: \(x=\frac{ y }{ 8 }+3\) Something is added. That means you start by subtracting it from both sides of the equation. That keeps the equation balanced (equal.)

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