Question

Suppose $f\left(x\right)$ is piece wise defined by $f\left(x\right)=\{\begin{array}{cc}x+1& ifx\in (-\infty ,2)\\ x+3& ifx\in [2,\infty )\end{array}$
What is $f\left(2\right)$?

• A. $8$
• B. $6$
• C. $5$
• D. $2$

Answer 1

The correct option is C $5$

$f\left(x\right)=\{\begin{array}{cc}x+1& ifx\in (-\infty ,2)\\ x+3& ifx\in [2,\infty )\end{array}$

When $x=2$

$f\left(x\right)=x+3$

So, $f\left(2\right)=2+3$

$f\left(2\right)=5$