Β Β
x= -5
Step-by-step explanation:
we are given with the function:
![f(x)=\frac{x+5}{x^2+3x-10}](/tpl/images/0485/4847/c3c37.png)
We will factorize the denominator
![x^2+3x-10](/tpl/images/0485/4847/e7338.png)
![x^2+5x-2x-10](/tpl/images/0485/4847/51b34.png)
![x(x+5)-2(x+5)](/tpl/images/0485/4847/b3248.png)
![(x-2)(x+5)](/tpl/images/0485/4847/5433d.png)
Hence, We can see that (x+5) can be eliminated since, it can get cancelled with the numerator
Hence, the removable discontinuity is at (x+5) or x= -5
Removable discontinuity is that which can be eliminated from the function.