imjoseleon imjoseleon
  • 09-12-2019
  • Mathematics
contestada

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (fºg)(x)?

If fx x2 1 and gx 2x 3 what is the domain of fºgx class=

Respuesta :

jitushashi56
jitushashi56 jitushashi56
  • 15-12-2019

Answer:

(-∞, ∞)

Step-by-step explanation:

Given,

[tex]f(x)=x^2-1 \ and\ g(x)=2x-3[/tex]

Then (fºg)(x) would be ,

[tex](2x-3)^2-1\\4x^2-12x+9-1\\4x^2-12x+8[/tex]

Since this is a polynomial, we know domain of a polynomial is all real number.

Therefore the domain of this (fºg)(x) is (-∞, ∞).

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