anonymous
  • anonymous
How do you get this?:) let f(x)=(x+2)/(x+8) f^-1(-9)=?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
you want the inverse of f(x)
anonymous
  • anonymous
\[f^(-1)(x) = -(2 (4 x-1))/(x-1)\]
amistre64
  • amistre64
the inverse is gotten suslly by switching x and y and resolves for y

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anonymous
  • anonymous
You don't have to find the inverse, Just plug f(x)=-9, and then solve for x. That value of x is the inverse at x=-9.
anonymous
  • anonymous
let y = x+2 / x+8 yx + 8y = x+2 x(1-y) = 8y-2 x = (8y-2)/1-y which gives u d inverse now switch x and y and put in d value of x to get y
anonymous
  • anonymous
thank you!:)
amistre64
  • amistre64
x=(y+2)/(y+8) x(y+8)=y+2 xy +8x = y+2 xy - y = -8x +2 y(x-1) = -8x+2 y = (-8x+2) ------- (x-1)
amistre64
  • amistre64
y = (-8(-9)+2)/(-9-1) y = 74/-10 = -7.4
anonymous
  • anonymous
welll i did the very same
amistre64
  • amistre64
yay!! its verified then ;)
anonymous
  • anonymous
A simpler method, is to plug f(x)=-9 and then solve for x: \[-9={x+2 \over x+8} \implies -9x-72=x+2 \implies 10x=-74 \implies x=- 7.4\] So,\[f^{-1}(-9)=-7.4\]
anonymous
  • anonymous
I like my method :P
amistre64
  • amistre64
your method is just the same method rehashed lol
anonymous
  • anonymous
Haha, not really.
anonymous
  • anonymous
admit it, mine is better :P

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