anonymous
  • anonymous
solve for f-1(3).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
anonymous
  • anonymous
what do you think Eternallyfamous?
anonymous
  • anonymous
It's inverse right?

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anonymous
  • anonymous
if you inverse what do you gonna get?
zzr0ck3r
  • zzr0ck3r
\[y=\frac{4x+1}{3}\] do you know how to find an inverse?
anonymous
  • anonymous
First I swap the X and Y right?
zzr0ck3r
  • zzr0ck3r
yeah do that
zzr0ck3r
  • zzr0ck3r
so \[x=\frac{4y+1}{3}\]
zzr0ck3r
  • zzr0ck3r
now solve the equation for y ( get y on one sides and all the other stuff on the other side)
anonymous
  • anonymous
|dw:1377641402006:dw|
anonymous
  • anonymous
is that right so far?
anonymous
  • anonymous
?
anonymous
  • anonymous
@zzr0ck3r
zzr0ck3r
  • zzr0ck3r
\[x=\frac{4y+1}{3}\]multiply both sides by 3 \[3x=\cancel3\frac{4y+1}{\cancel3}\\3x=4y+1\]subtract 1 from both sides\[3x-1=4y+1-1=4y\\4y=3x-1\]divide everything by 4\[\cancel4\frac{y}{\cancel4}=\frac{3x-1}{4}\]so\[f^{-1}(x) = \frac{3x-1}{4}\]
zzr0ck3r
  • zzr0ck3r
\[f^{-1}(3) = \frac{3*3-1}{4}=\frac{8}{4}=2\]
anonymous
  • anonymous
ooh I see where i went wrong! thanks!
zzr0ck3r
  • zzr0ck3r
np, sorry im all over the place...

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