abdulayomide06 abdulayomide06
  • 11-09-2022
  • Mathematics
contestada

Find the domain of the function g(x)= 4/x^2 +3x +2. Write your answer in set builder notation

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Medunno13
Medunno13 Medunno13
  • 11-09-2022

Answer:

[tex] \{x|x \neq -2, -1 \}[/tex]

Step-by-step explanation:

The denominator cannot equal 0 because division by zero is undefined.

[tex]x^2 + 3x+2 \neq 0 \implies (x+1)(x+2) \neq 0 \implies x \neq -1, -2[/tex]

[tex]\therefore \{x|x \neq -2, -1 \}[/tex]

Answer Link
Medunno13
Medunno13 Medunno13
  • 11-09-2022

Answer:

[tex] \{x|x \neq -2, -1 \}[/tex]

Step-by-step explanation:

The denominator cannot equal 0 because division by zero is undefined.

[tex]x^2 + 3x+2 \neq 0 \implies (x+1)(x+2) \neq 0 \implies x \neq -1, -2[/tex]

[tex]\therefore \{x|x \neq -2, -1 \}[/tex]

Answer Link

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