# How do you prove that the function #f(x)=(x^2+7x+10)/(x+5) # is continuous everywhere but x=-5?

##### 1 Answer

Nov 1, 2015

Factor and rewrite the function.

#### Explanation:

# = ((x+2)(x+5))/(x+5)#

# = x+2# for#x != -5#

Use whatever tools you have developed to show that a linear function is continuous,

but note that