anonymous
  • anonymous
Inverse problem
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
If \[f ^{-1}\] is the inverse of f, determine the value of \[f(f ^{-1}(-3))\]
zzr0ck3r
  • zzr0ck3r
let say \[f^{-1}(-3)=a\\then\\f(a)=-3 \\so\\f(f^{-1}(-3))=f(a)=-3\]
anonymous
  • anonymous
okay

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More answers

anonymous
  • anonymous
is the answer -3?
zzr0ck3r
  • zzr0ck3r
which part do you not understand?
anonymous
  • anonymous
is -3 the answer?
zzr0ck3r
  • zzr0ck3r
if f(a) = =b then f^-1(b) = a so f(f^(-1)(b)) = f(a) = b
zzr0ck3r
  • zzr0ck3r
yes
zzr0ck3r
  • zzr0ck3r
but if you dont understand why, its not going to get any easier.
zzr0ck3r
  • zzr0ck3r
an inverse undoes what the function does, and vice versa so if we do something with the inverse, and then undo that, we are back to where we started
anonymous
  • anonymous
can I show you my answer choices?
anonymous
  • anonymous
1. Need to know f 2. f(f^(-1)-3) = 1/3 3. f(f^(-1)-3) = 1/9 4. f(f^(-1)-3) = 3 5. f(f^(-1)-3) = 9
anonymous
  • anonymous
the answer is above
zzr0ck3r
  • zzr0ck3r
none of these make sense.... \[f(f^{-1}(x))=x=f^{-1}(f(x))\]
anonymous
  • anonymous
i think there is a typo in the answers all of them should be \(f(f^{-1}(-3))\)
anonymous
  • anonymous
ooh i see, none are there...
zzr0ck3r
  • zzr0ck3r
yeah, maybe another typo...
anonymous
  • anonymous
f(f−1(−3)) that's what I meant to write
zzr0ck3r
  • zzr0ck3r
the answers are wrong, it should be -3
anonymous
  • anonymous
so would it be 1. Need to know f?
zzr0ck3r
  • zzr0ck3r
no
zzr0ck3r
  • zzr0ck3r
we dont need to know f if we know f inverse exists then f(f inverse of x)= x

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