Melisaxv
Melisaxv Melisaxv
  • 26-02-2021
  • Mathematics
contestada

Given f(x) = x + 1 and g(x) = 3x – 5,
what are
the restrictions on the domain when f(x)/g(x)

Given fx x 1 and gx 3x 5 what are the restrictions on the domain when fxgx class=

Respuesta :

realmememachine
realmememachine realmememachine
  • 26-02-2021

Answer:

There will be an asymptote at [tex]x=\frac{5}{3}[/tex], meaning the domain is restricted from (-∞, [tex]\frac{5}{3}[/tex])U([tex]\frac{5}{3}[/tex], ∞).

Step-by-step explanation:

When finding domain restrictions for an equation that has a fraction, take the denominator and set it equal to 0. Then, solve for x:

[tex]3x-5=0[/tex]

[tex]3x=5[/tex]

[tex]x=\frac{5}{3}[/tex]

Then we can determine that there's an asymptote at [tex]x=\frac{5}{3}[/tex] but that is the only restriction.

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