martinezeric807
martinezeric807 martinezeric807
  • 13-12-2021
  • Mathematics
contestada

solve y=f(x) for x. Then find the input when the output is -3. f(x)=3x^3


x=___



The input is____when the output is-3​

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loneguy
loneguy loneguy
  • 13-12-2021

[tex]f(x) =-3\\\\\implies 3x^3= -3\\\\\implies x^3 = -1\\\\\implies x = \sqrt[3]{-1} ~~\text{or}~~ x= \sqrt[3]{-1} \left(\dfrac{-1 \pm i\sqrt 3}2\right)\\[/tex]

[tex]\text{For x} \in \mathbb{R}, ~\text{the answer is x} = \sqrt[3]{-1} = -1[/tex]

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