anonymous
  • anonymous
if f(x)=-5x-11 then f^-1(x)= ? inverse functions confuse me please help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
can you solve \[-5x-11=7\]?
anonymous
  • anonymous
for example i mean it takes two steps only
anonymous
  • anonymous
\[x=-\frac{ -18 }{ ?5}\]

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anonymous
  • anonymous
well \[\frac{18}{5}\]yes how did you do it?
anonymous
  • anonymous
I did the work and checked it with a calculator
anonymous
  • anonymous
"the work" being what ?
anonymous
  • anonymous
but is that all there is to it?
anonymous
  • anonymous
two steps right? what were those two steps?
anonymous
  • anonymous
switch x and y, solve for y and x, and substitute f^-1 for y
anonymous
  • anonymous
my school teaches it in three steps
anonymous
  • anonymous
but that isn't the answer they want
anonymous
  • anonymous
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
anonymous
  • anonymous
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 \(-5\) \[y=\frac{x+11}{-5}\]
anonymous
  • anonymous
or if you want to pull out the minus sign, write \[f^{-1}(x)=-\frac{x+11}{5}\]

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