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lbvjy [14]
3 years ago
10

What are the domain and range of the function? f(x) = ^3 square x - 3

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0

Step-by-step explanation:

f(x) = \sqrt[3]{x - 3}

The domain of a function are the values of x that you can plug into the function f(x).

Values inside of a root must be non-negative, which means that x - 3 must be greater than or equal to zero. We can set up an equation to find the domain:

x - 3 \geq 0

x \geq 3

With this, we know the domain of the function is [3, \inf).

The range of a function are the values that f(x) can have. Since the equation is a cube root, the value will always be non-negative, meaning the range of the function is [0, \inf).

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