Respuesta :

The value of x is -2 when f(x) = 0

Step-by-step explanation:

In any function f(x) = y

  • x is the input
  • y is the output
  • If f(x) = 2 x + 3, then f(a) = b means when you substitute x by a the value of y = b

∵ f(x) = x³ + 8

To find value of x when f(x) = 0, substitute f(x) in the equation by

0 and solve the equation to find the value of x

∵ f(x) = 0

∴ 0 = x³ + 8

- Subtract 8 from both sides

∴ -8 = x³

- Take ∛ for both sides

∵ [tex]\sqrt[3]{x}=x[/tex]

∵ [tex]\sqrt[3]{-8}=-2[/tex]

∴ x = -2

The value of x is -2 when f(x) = 0

Learn more:

You can learn more about the functions in brainly.com/question/10879401

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