gaokao 2004 Q19

gaokao · China · shanghai-science Composite & Inverse Functions Determine Domain or Range of a Composite Function
19. (Total Score: 14 points) Subquestion 1 is worth 6 points, Subquestion 2 is worth 8 points.
Let the domain of function $f ( x ) = \sqrt { 2 - \frac { x + 3 } { x + 1 } }$ be $A$, and the domain of $g ( x ) = \lg [ ( x - a - 1 ) ( 2 a - x ) ]$ (where $a < 1$) be $B$.
(1) Find $A$;
(2) If $B \subseteq A$, find the range of real number $a$. 
19. (Total Score: 14 points) Subquestion 1 is worth 6 points, Subquestion 2 is worth 8 points.

Let the domain of function $f ( x ) = \sqrt { 2 - \frac { x + 3 } { x + 1 } }$ be $A$, and the domain of $g ( x ) = \lg [ ( x - a - 1 ) ( 2 a - x ) ]$ (where $a < 1$) be $B$.\\
(1) Find $A$;\\
(2) If $B \subseteq A$, find the range of real number $a$.
Paper Questions
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