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Diketahui fungsi . Jika daerah asal fungsi adalah daerah hasil fungsi adalah ....

Diketahui fungsi begin mathsize 14px style g colon x rightwards arrow 1 minus 2 x end style. Jika daerah asal fungsi begin mathsize 14px style g end style adalah size 14px D size 14px equals begin mathsize 14px style left curly bracket x vertical line minus 5 less than x less or equal than space 3 comma x element of bilangan space real right curly bracket end style daerah hasil fungsi undefined adalah .... 

  1. begin mathsize 14px style open curly brackets y vertical line minus 5 less or equal than y less or equal than 11 comma y element of straight R close curly brackets end style 

  2. begin mathsize 14px style open curly brackets y vertical line minus 5 less or equal than y less than 11 comma y element of straight R close curly brackets end style 

  3. begin mathsize 14px style left curly bracket y vertical line minus 5 less than y less or equal than 11 comma y element of straight R right curly bracket end style 

  4. begin mathsize 14px style left curly bracket y vertical line minus 5 less than y less than 11 comma y element of straight R right curly bracket end style 

Jawaban:

Diketahui fungsi begin mathsize 14px style g colon x rightwards arrow 1 minus 2 x end style. Jika daerah asal fungsi begin mathsize 14px style g end style adalah size 14px D size 14px equals begin mathsize 14px style left curly bracket x vertical line minus 5 less than x less or equal than space 3 comma x element of bilangan space real right curly bracket end style, maka

begin mathsize 14px style space space space space space space minus 5 less than x less or equal than 3 rightwards double arrow negative 10 less than 2 x less or equal than 6 rightwards double arrow negative 6 less or equal than negative 2 x less than 10 rightwards double arrow negative 5 less or equal than 1 minus 2 x less than 11 rightwards double arrow negative 5 less or equal than y less than 11 end style  

 daerah hasil fungsi undefined adalah begin mathsize 14px style open curly brackets y vertical line minus 5 less or equal than y less than 11 comma y element of straight R close curly brackets end style .

Jadi, jawaban yang tepat adalah B.

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