Consider the functions f(x)={x+1, x≤12x+1, 1<x≤2g(x)={x2, −1≤x<2x+2, 2≤x≤3Range of the function f(g(x)) is

Consider the functions f(x)={x+1, x≤12x+1, 1<x≤2g(x)={x2, −

1.	Consider the functions f(x)={x+1, x≤12x+1, 1<x≤2g(x)={x2, −1≤x<2x+2, 2≤x≤3Range of the function f(g(x)) is
Answer» Consider the functions $f (x) = {\begin{matrix} x + 1, x \leq 1 2 x + 1, 1 < x \leq 2 \end{matrix}$ $g (x) = {\begin{matrix} x^{2}, - 1 \leq x < 2 x + 2, 2 \leq x \leq 3 \end{matrix}$ Range of the function $f (g (x))$ is