`3(x-1) le 2 (x-3)`

The value (s) of x for which the function f(x) = {{:(1 -x " , " x lt 1),( (1 -x)(2-x) " : " 1 le x le 2 ),( x -3 " , " x gt 2 ):} fails to be continuous is (are)

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.

If A={x:-1 le x le 1},f(x)=x^(2) and g(x)=x^(3), which of the following functions are onto? (i) f:A to A

If A = { x : -1 le x le 1}, g(x) = x^(3) , which of the following are onto? (ii) g:A to A

f(x)={{:(x^(2),if x le 1),(x, if 1 lt x le 2),(x-3,if x gt 2):} then Lt_(x to 2+) f(x)=