If `f(x)={(x+1, "if"" " xlt1),(5-x^2,"if"" " xgt1):}` & `g(x)={(x, "if"" " xlt1),(2-x,"if"" " xgt1):}`
Answer the following questions:

(1) The range of `f(x)` is-
(a) `(-oo,4)`
(b) `(-oo,5)`
(c) `R`
(d) `(-oo,4]`

(2) If `x``in(1,2)`, then `g(f(x))` is equal to
(a) `x^2+3`
(b) `x^2-3`
(c) `5-x^2`
(d) `1-x`