Given $f ( x ) = \left\{ \begin{array} { c c } a x + 3 & \text { if } x 0 \end{array} \right.$ can we find a real number $a$ that makes $f$ continuous at $x = 0 .$ ?

Question

Given $f ( x ) = \left\{ \begin{array} { c c } 
a x + 3 & \text { if } x < 0 \
2 & \text { if } \mathrm { x } = 0 \
\frac { 3 } { x + 1 } & \text { if } \mathrm { x } > 0
\end{array} \right.$ can we find a real number $a$ that makes $f$ continuous at $x = 0 .$ ?

Quizplus · Accepted Answer

The Answer of Given $f ( x ) = \left\{ \begin{array} { c c } 
a x + 3 & \text { if } x < 0 \
2 & \text { if } \mathrm { x } = 0 \
\frac { 3 } { x + 1 } & \text { if } \mathrm { x } > 0
\end{array} \right.$ can we find a real number $a$ that makes $f$ continuous at $x = 0 .$ ?

Given Can We Find a Real Number aaa That Makes fff Continuous At

Given Can We Find a Real Number $a$ That Makes $f$ Continuous At