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=______

Printable View

- Sep 29th 2009, 04:00 PMB-lapMake 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=______ - Sep 29th 2009, 05:16 PMskeeter
$\displaystyle f(-4) = -\frac{96}{(-4)-b}$

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

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

solve the equation for b ...

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