Given F(x) shown below, complete the equation for the inverse of F(x). If necessary, use the slash mark (/) for the division symbol.
F(x)=5x+4
f^-1(y)=_______
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hero (hero):
Are you sure that's what the question is?
OpenStudy (anonymous):
would you -4 to both sides and get y/1?
hero (hero):
It should be asking what's \(F^{-1}(x)\)
OpenStudy (anonymous):
and yes im sure thats what the question says
OpenStudy (anonymous):
yes you are correct hero
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hero (hero):
I know I am
hero (hero):
To get the inverse, let y = \(F(x)\)
hero (hero):
y = 5x + 4
hero (hero):
Then swap x and y:
x = 5y + 4
hero (hero):
Then isolate y
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hero (hero):
x - 4 = 5y
\[\frac{x - 4}{5} = y\]
Then replace y with \(F^{-1}(x)\)
hero (hero):
\[\frac{x - 4}{5} = F^{-1}(x)\]
I know that for you the steps might be confusing, but they are always the same.
OpenStudy (anonymous):
damn im confused
hero (hero):
There's nothing confusing about it.
hero (hero):
Where are you confused?
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