krystalmontes6
krystalmontes6 krystalmontes6
  • 21-10-2021
  • Mathematics
contestada

State the domain and any values that are excluded from the domain of the function.

f(x) = 2x-5/x-4
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jimrgrant1 jimrgrant1
  • 21-10-2021

Answer:

see explanation

Step-by-step explanation:

f(x) = [tex]\frac{2x-5}{x-4}[/tex]

The denominator cannot equal zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be

x - 4 = 0 ⇒ x = 4 ← excluded value

Domain is x ∈ R , x ≠ 4

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