DelaliH203119
DelaliH203119
26-10-2022
Mathematics
contestada
The domain of g(f(x)) is:
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EveretteS258068
EveretteS258068
26-10-2022
[tex]\begin{gathered} f(x)=3x-1 \\ g(x)=\sqrt[]{x} \\ so\colon \\ g(f(x))=\sqrt[]{3x-1} \end{gathered}[/tex]
the square root must be positive, so:
[tex]\begin{gathered} 3x-1\ge0 \\ 3x\ge1 \\ x\ge\frac{1}{3} \end{gathered}[/tex]
the domain of g(f(x)) is:
[tex]D\colon x\ge\frac{1}{3}[/tex]
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