Consider the functions $f, g: \mathbb{R} \rightarrow \mathbb{R}$ defined by
$$
f(x)=x^{\circ}+{ }_{12}^5 \text { and } g(x)=\left\{\begin{array}{cc}
\left\{\left(1-\frac{4|x|}{0-1}\right)\right. & 3 \\
0, & |x|>\frac{3}{4}
\end{array} .\right.
$$
If $\alpha$ is the area of the region
$$
\left\{(\mathrm{x}, \mathrm{y}) \in \mathbb{R} \times \mathbb{R}:|\mathrm{x}| \leq \frac{5}{4}, 0 \leq \mathrm{y} \leq \min \{f(\mathrm{x}), g(\mathrm{x})\}\right\},
$$
then the value of $9 \alpha$ is $\_\_\_\_$ .
Hello 👋 Welcome to Competishun – India’s most trusted platform for JEE & NEET preparation. Need help with JEE / NEET courses, fees, batches, test series or free study material? Chat with us now 👇