Question

Let f and g be two function defined by $f(x) = \begin{cases} x+1 & \quad x<0\\\ |x-1|, & \quad x \geq0 \end{cases}$ and g(x) = $f(n) = \begin{cases} x+1, & \quad x<0 \\\ 1, & \quad x\geq0 \end{cases}$ Then (gof)(x) is

• A. Continuous everywhere but not differentiable at x = 1
• B. Continuous everywhere but not differentiable exactly at one point
• C. not continuous at x = – 1
• D. differentiable everywhere

Answer 1

Answer: (B)

Continuous everywhere but not differentiable exactly at one point

Answer 2

The Correct Option is(B):Continuous everywhere but not differentiable exactly at one point