Torpekai Torpekai
  • 17-10-2020
  • Mathematics
contestada

Find the domain and range of f(x)=x/x^2-9

Respuesta :

mirai123
mirai123 mirai123
  • 17-10-2020

Answer:

[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]

[tex]Ran(f)=\matyhbb{R}[/tex]

Step-by-step explanation:

[tex]f(x)=\dfrac{x}{x^2-9}[/tex]

Once the denominator can't be zero, [tex]x\neq 3[/tex] and [tex]x\neq -3[/tex]

[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]

The range from the graph is all Real numbers

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