CodenV172609 CodenV172609
  • 25-10-2022
  • Mathematics
contestada

The domain of f(g(x)) is:

Respuesta :

BrayleighL129361 BrayleighL129361
  • 25-10-2022

Answer:

x ≥ 0

Explanation:

Given the function f(x) and g(x) defined below:

[tex]f(x)=3x-1,g(x)=\sqrt{x}[/tex]

The composite function f(g(x)) is:

[tex]f(g(x))=3\sqrt[]{x}-1[/tex]

The domain of the function is the value at which the value under the square root sign is non-negative.

Therefore:

[tex]\text{Domain of f(g(x)): }x\ge0[/tex]

The first option is correct.

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