Ayúdenme con esto por fas
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El dominio de una funcion es el conjunto de valores , para los cuales esta definida dicha funcion.
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a)
x + 1 ≥ 0
x ≥ - 1
Dominio : [ - 1 ; +∞ >
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b)![G(x) = \sqrt[3]{\frac{x+1}{x-3}}](https://tex.z-dn.net/?f=+G%28x%29+%3D+%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%2B1%7D%7Bx-3%7D%7D+++ "G(x) = \sqrt[3]{\frac{x+1}{x-3}}")
x - 3 ≠ 0
x ≠ 3
Dominio : R - {3}
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c)![H(x) = \sqrt[4]{-x^{2}+1}](https://tex.z-dn.net/?f=+H%28x%29+%3D+%5Csqrt%5B4%5D%7B-x%5E%7B2%7D%2B1%7D+++ "H(x) = \sqrt[4]{-x^{2}+1}")
-x² + 1 ≥ 0 ---> Multiplicamos por (-1) y nos quedaria
x² - 1 ≤ 0
(x+1)(x-1) ≤ 0
Dominio : [ -1 ; 1 ]
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d)![F(x) = \frac{x+1}{\sqrt[3]{x-4}}](https://tex.z-dn.net/?f=+F%28x%29+%3D+%5Cfrac%7Bx%2B1%7D%7B%5Csqrt%5B3%5D%7Bx-4%7D%7D+++ "F(x) = \frac{x+1}{\sqrt[3]{x-4}}")
x - 4 ≠ 0
x ≠ 4
Dominio : R - {4}
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y eso es todo , espero se entienda xD
SALUDOS!!