carlosvargascv carlosvargascv
  • 09-06-2021
  • Mathematics
contestada

If a(x) = 3x + 1 and (x)= x-4, what is the domain of (boa)(x)?

Respuesta :

goddessboi goddessboi
  • 09-06-2021

Answer:

[tex](b\circ a)(x)=3x-3[/tex] ; the domain is all real numbers

Step-by-step explanation:

[tex]a(x) = 3x+1[/tex]

[tex]b(x)=x-4[/tex]

[tex](b\circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=3x+1-4=3x-3[/tex]

Therefore, the domain of the composite function is all real numbers.

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