JEE PYQ: Continuity And Differentiability Question 1
Question 1 - 2021 (16 Mar Shift 1)
Let the functions $f : \mathbb{R} \to \mathbb{R}$ and $g : \mathbb{R} \to \mathbb{R}$ be defined as:
$$f(x) = \begin{cases} x + 2, & x < 0 \ x^2, & x \geq 0 \end{cases} \quad \text{and} \quad g(x) = \begin{cases} x^3, & x < 1 \ 3x - 2, & x \geq 1 \end{cases}$$
Then, the number of points in $\mathbb{R}$ where $(f \circ g)(x)$ is NOT differentiable is equal to:
(1) 3
(2) 1
(3) 0
(4) 2
BETA
