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
