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anonymous

  • one year ago

if f(x)=-5x-11 then f^-1(x)= ? inverse functions confuse me please help

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  1. anonymous
    • one year ago
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    can you solve \[-5x-11=7\]?

  2. anonymous
    • one year ago
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    for example i mean it takes two steps only

  3. anonymous
    • one year ago
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    \[x=-\frac{ -18 }{ ?5}\]

  4. anonymous
    • one year ago
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    well \[\frac{18}{5}\]yes how did you do it?

  5. anonymous
    • one year ago
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    I did the work and checked it with a calculator

  6. anonymous
    • one year ago
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    "the work" being what ?

  7. anonymous
    • one year ago
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    but is that all there is to it?

  8. anonymous
    • one year ago
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    two steps right? what were those two steps?

  9. anonymous
    • one year ago
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    switch x and y, solve for y and x, and substitute f^-1 for y

  10. anonymous
    • one year ago
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    my school teaches it in three steps

  11. anonymous
    • one year ago
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    but that isn't the answer they want

  12. anonymous
    • one year ago
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    ok all i was trying to point out is that if you can solve \[-5x-11=7\] that means if you know the output 7, you know the input \(\frac{18}{5}\) the two steps where a) add 11 b) divide by \(-5\) that is what the inverse does

  13. anonymous
    • one year ago
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    if you cannot do it in your head (which you can) solve \[-5y-11=x\] for \(y\) same two steps a) add 11\[-5y=x+11\]divide by \(-5\) \[y=\frac{x+11}{-5}\]

  14. anonymous
    • one year ago
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    or if you want to pull out the minus sign, write \[f^{-1}(x)=-\frac{x+11}{5}\]

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