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Fungsi  ditentukan dengan rumus:   Nilai dari  a...

Fungsi undefined ditentukan dengan rumus:

begin mathsize 14px style f open parentheses x close parentheses equals table row cell 3 x minus 2 comma space u n t u k space minus 1 less than x less than 1 space space space space space space end cell row cell 2 minus x squared comma space u n t u k space x space y a n g space l a i n n y a end cell end table end style 

Nilai dari begin mathsize 14px style f open parentheses 3 close parentheses times f open parentheses 2 over 3 close parentheses minus f open parentheses 1 close parentheses times f open parentheses negative 2 close parentheses end style adalah ....

Jawaban:

Diketahui fungsi:

begin mathsize 14px style f open parentheses x close parentheses equals table row cell 3 x minus 2 comma space u n t u k space minus 1 less than x less than 1 space space space space space end cell row cell 2 minus x squared comma space u n t u k space x space y a n g space l a i n n y a end cell end table end style 

Maka:

- Nilai dari begin mathsize 14px style f open parentheses 3 close parentheses end style 

begin mathsize 14px style f open parentheses x close parentheses equals 2 minus x squared f open parentheses 3 close parentheses equals 2 minus 3 squared f open parentheses 3 close parentheses equals 2 minus 9 f open parentheses 3 close parentheses equals negative 7 end style 

- Nilai dari begin mathsize 14px style f open parentheses 2 over 3 close parentheses end style 

begin mathsize 14px style f open parentheses x close parentheses equals 3 x minus 2 f open parentheses 2 over 3 close parentheses equals 3 open parentheses 2 over 3 close parentheses minus 2 f open parentheses 2 over 3 close parentheses equals 2 minus 2 f open parentheses 2 over 3 close parentheses equals 0 end style 

- Nilai dari begin mathsize 14px style f open parentheses 1 close parentheses end style 

begin mathsize 14px style f open parentheses x close parentheses equals 2 minus x squared f open parentheses 1 close parentheses equals 2 minus 1 squared f open parentheses 1 close parentheses equals 2 minus 1 f open parentheses 1 close parentheses equals 1 end style 

- Nilai dari begin mathsize 14px style f open parentheses negative 2 close parentheses end style 

begin mathsize 14px style f open parentheses x close parentheses equals 2 minus x squared f open parentheses negative 2 close parentheses equals 2 minus open parentheses negative 2 close parentheses squared f open parentheses negative 2 close parentheses equals 2 minus 4 f open parentheses negative 2 close parentheses equals negative 2 end style 

Sehingga:

begin mathsize 14px style f open parentheses 3 close parentheses times f open parentheses 2 over 3 close parentheses minus f open parentheses 1 close parentheses times f open parentheses negative 2 close parentheses equals open parentheses negative 7 close parentheses times 0 minus 1 times open parentheses negative 2 close parentheses equals 0 plus 2 equals 2 end style 

Jadi, nilai dari size 14px f begin mathsize 14px style left parenthesis 3 right parenthesis end style size 14px times size 14px f begin mathsize 14px style left parenthesis 2 over 3 right parenthesis end style size 14px minus size 14px f begin mathsize 14px style left parenthesis 1 right parenthesis end style size 14px times size 14px f begin mathsize 14px style left parenthesis negative 2 right parenthesis end style adalah begin mathsize 14px style 2 end style.

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