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Diketahuin fungsi dan . Jika daerah asal fungsi adalah ...

Diketahuin fungsi begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator x plus 4 over denominator x minus 5 end fraction end style dan begin mathsize 14px style g open parentheses x close parentheses equals square root of x squared minus 9 x end root end style. Jika begin mathsize 14px style h open parentheses x close parentheses equals open parentheses f space. space g close parentheses open parentheses x close parentheses comma end style daerah asal fungsi begin mathsize 14px style h open parentheses x close parentheses end style adalah ...

Jawaban:

Daerah asal undefined yaitu begin mathsize 14px style D subscript f equals open curly brackets x not equal to 5 close curly brackets end style.

Daerah asal begin mathsize 14px style g open parentheses x close parentheses end style yaitu: begin mathsize 14px style space x squared minus 9 x greater or equal than 0 x open parentheses x minus 9 close parentheses greater or equal than 0 j a d i space D subscript g equals open curly brackets x less or equal than 0 space a t a u space x greater or equal than 9 close curly brackets end style 

Daerah asal begin mathsize 14px style h open parentheses x close parentheses end style yaitu: begin mathsize 14px style D subscript h equals D subscript f intersection D subscript g space space space space space equals open curly brackets x less or equal than 0 space a t a u space x greater or equal than 9 close curly brackets end style 

Jadi, Daerah asal begin mathsize 14px style h open parentheses x close parentheses end style adalah begin mathsize 14px style left curly bracket x less or equal than 0 space a t a u space x greater or equal than 9 right curly bracket end style.

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