anonymous
  • anonymous
Let f(x) = 7x - 13. Find f-1(x).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Hero
Hero
  • Hero
Let y = f(x), then y = 7x - 13 swap x and y: x = 7y - 13 Now isolate y
anonymous
  • anonymous
so x + 13 =7y

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Hero
  • Hero
Okay, but you still have one step left in order to isolate y.
Hero
  • Hero
In order for y to be isolated, it has to be alone on one side.
anonymous
  • anonymous
|dw:1377623049580:dw|
anonymous
  • anonymous
like that?
Hero
  • Hero
Okay, yes
anonymous
  • anonymous
then I don't get what's after that
Hero
  • Hero
What happens if you ever have 7/7?
anonymous
  • anonymous
well then it's canceling each other out
Hero
  • Hero
Exactly. The last step is to replace y with \(f^{-1}(x)\)
anonymous
  • anonymous
so it's |dw:1377623318533:dw|
Hero
  • Hero
\[y = \frac{x + 13}{7}\]\[f^{-1}(x) = \frac{x + 13}{7}\]
anonymous
  • anonymous
okay , it makes sense a bit now, thank you

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