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Maths-

General

Easy

Question

The daily attendance at an amusement park after day x is given by the function
f(x) = $fraction numerator 3.000 x over denominator x squared minus 1 end fraction$ . On Approximately which day will the attendance be 1125 people ?

The correct answer is: X = -1.001 or x= 0.999

We have given the equation of the daily attendance at an amusement park after day x
F(x) = $F left parenthesis x right parenthesis equals fraction numerator 3.000 x over denominator x squared minus 1 end fraction$
We have to find on which day attendance will be 1125
y = f(x) = 1125
$1125 equals fraction numerator 3.000 x over denominator x squared minus 1 end fraction$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 1125 over 3 equals fraction numerator x over denominator x squared minus 1 end fraction end cell row blank end table$
$375 equals fraction numerator x over denominator x squared minus 1 end fraction$
$375 x squared plus x minus 375 equals 0$
x = -1.001 or x= 0.999

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