Question

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

Answer 1

-5 is your answer

Explanation:

Answer 2

We are looking to find the point where the curve discontinued

Step 1: Factorise both numerator and denominator (if possible)

`(x+5)/( x^(2) +3x-10)= ((x+5))/((x+5)(x-2))`

Step 2: Recognise the common factor, which is
`(x+5)`

Step 3: Equate the common factor to 0

`x+5=0`

`x=-5`

Answer: -5