goodcharlotte20
goodcharlotte20 goodcharlotte20
  • 22-06-2017
  • Mathematics
contestada

Where is the removable discontinuity of f(x)=x+5/x^2+3x-10 located?

Where is the removable discontinuity of fxx5x23x10 located class=

Respuesta :

merlynthewhizz
merlynthewhizz merlynthewhizz
  • 01-07-2017
We are looking to find the point where the curve discontinued

Step 1: Factorise both numerator and denominator (if possible)
[tex] \frac{x+5}{ x^{2} +3x-10}= \frac{(x+5)}{(x+5)(x-2)} [/tex]

Step 2: Recognise the common factor, which is [tex](x+5)[/tex]

Step 3: Equate the common factor to 0
[tex]x+5=0[/tex]
[tex]x=-5[/tex]

Answer: -5
Answer Link
robertneill68 robertneill68
  • 09-12-2019

Answer:

-5 is your answer

Step-by-step explanation:

Answer Link

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