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
∵ ![\sqrt[3]{x}=x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%3Dx)
∵ ![\sqrt[3]{-8}=-2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-8%7D%3D-2)
∴ 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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