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Let f(x) ={{:( x+2, 0 le x lt 2),( 6-x, ...

`Let f(x) ={{:( x+2, 0 le x lt 2),( 6-x, x ge 2):}, g(x) ={{:( 1+ tan x, 0le x lt (pi) /(4)),( 3-cotx,(pi)/(4) le x lt pi ):}`
`f(g(x))` is

A

`(-oo,oo)`

B

`(4,oo)`

C

`(-oo,4]`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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