# Math Help - Make this a continuous function

1. ## Make this a continuous function

f(x) = -2x +b, if x<-4
-96/x-b, if >(or equal to) -4

There are exactly two values for b which make f(x) a continuous function at x=-4. The one with the greater asolute value is b=______

2. Originally Posted by B-lap
f(x) = -2x +b, if x<-4
-96/x-b, if >(or equal to) -4

There are exactly two values for b which make f(x) a continuous function at x=-4. The one with the greater asolute value is b=______
$f(-4) = -\frac{96}{(-4)-b}$

from the left side of $x = -4$, $f(x)$ gets close to $-2(-4) + b$

both sides should be equal for $f(x)$ to be continuous.

solve the equation for b ...

$-\frac{96}{(-4)-b} = -2(-4) + b$