Question

At $x=\frac{3}{2}$ the function $f(x)=\frac{|2x-3|}{2x-3}$ is

• A. continuous
• B. discontinuous
• C. differentiable
• D. non-zero

Answer 1

Answer: (B)

discontinuous

Answer 2

Given, $f(x)=\frac{|2x-3|}{2x-3}$
$ \left\{ \begin{matrix} \frac{2x-3}{2x-3}, & if & x\ge \frac{3}{2} \\ \frac{-(2x-3)}{2x-3}, & if & x