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Diketahui fungsi dan Fungsi komposisi (gof)(x) = ....

Diketahui fungsi f left parenthesis x right parenthesis equals 2 x minus 1 dan g left parenthesis x right parenthesis equals 3 x squared minus x plus 5. Fungsi komposisi (gof)(x) = .....

  1. 6 x squared minus 4 x minus 11

  2. 6 x squared minus 4 x plus 9

  3. 12 x squared minus 14 x plus 9

  4. 12 x squared minus 10 x plus 9

  5. 12 x squared minus 10 x plus 3

Jawaban:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g o f close parentheses open parentheses x close parentheses end cell equals cell g open parentheses f open parentheses x close parentheses close parentheses end cell row blank equals cell g left parenthesis 2 x minus 1 right parenthesis end cell row blank equals cell 3 open parentheses 2 x minus 1 close parentheses squared minus open parentheses 2 x minus 1 close parentheses plus 5 end cell row blank equals cell 3 open parentheses 4 x squared minus 4 x plus 1 close parentheses minus 2 x plus 1 plus 5 end cell row blank equals cell 12 x squared minus 12 x plus 3 minus 2 x plus 1 plus 5 end cell row blank equals cell 12 x squared minus 14 x plus 9 end cell end table

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