SOLUTION: For these functions together, find a value of "a" (if a value exists) which makes the function continuous. f(x)= {In(x+a), x is greater than or equal to 0 {Sqrt of -x , x is le

Algebra ->  Functions -> SOLUTION: For these functions together, find a value of "a" (if a value exists) which makes the function continuous. f(x)= {In(x+a), x is greater than or equal to 0 {Sqrt of -x , x is le      Log On


   



Question 843719: For these functions together, find a value of "a" (if a value exists) which makes the function continuous.
f(x)= {In(x+a), x is greater than or equal to 0
{Sqrt of -x , x is less than 0

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
from the left,
f%28x%29=sqrt%28-x%29=sqrt%280%29=0
So then from the right,
f%280%29=ln%280%2Ba%29=ln%28a%29=0
So then,
a=1