Which functions are continuous at x= -5? select all that apply.

The correct ones i belive are B and C

option B  and C

Step-by-step explanation:

Lets check each function

 Lets simplify

factor the numerator

Cancel out x+5  so we are left with x-5

When x=-5  then f(x) = x-5= -5-5 = -10

To make the function continuous at x=-5  the value of f(x) should be -10

So option B is correct

Now we check with option C  and D

Lets simplify

factor the numerator

Cancel out x+5 , so we are left with x+5

When x=-5  then f(x) = x+5= -5+5 = 0

To make the function continuous at x=-5  the value of f(x) should be 0

So option C is correct

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.