Two functions are defined as under:
`f(x) = {{:(x+1, x le 1),(2x+1, 1 lt x le 2):}, g(x) ={{:(x^(2), -1 le x lt 2),( x+2, 2 le x le 3):}`.
Find fog and gof.

Options

A. `[1,5]`
B. `[2,3]`
C. `[1, 2] uu (3,5]`
D. `[1, 4]`

Answer

C