alvarotrevino11
alvarotrevino11 alvarotrevino11
  • 24-11-2016
  • Mathematics
contestada

Let f(x) = (x+5)/(x+10)... f^-1(8)=?

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apologiabiology
apologiabiology apologiabiology
  • 24-11-2016
basicaly the inverse switches x and y

so finverse(8)=? means that f(?)=8
that might not make sense to you but I know that

what that means is we just need to solve the equation
8=(x+5)/(x+10)
so
multiply both sides by x+10
8(x+10)=x+5
8x+80=x+5
minus x both sides
7x+80=5
minus 80 both sides
7x=-75
divide both sides by 7
x=-75/7

f⁻¹(8)=-75/7
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