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Diketahui dan . Nilai dari  jika adalah ….

Pertanyaan

Diketahui begin mathsize 14px style straight f open parentheses straight x close parentheses equals straight x squared minus 5 straight x plus 6 end style dan begin mathsize 14px style straight g open parentheses straight x close parentheses equals straight x minus 3 end style. Nilai dari begin mathsize 14px style straight h to the power of straight apostrophe open parentheses 1 close parentheses end style jika begin mathsize 14px style straight h open parentheses straight x close parentheses equals straight f open parentheses straight x close parentheses divided by straight g open parentheses straight x close parentheses end style adalah ….

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R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Diketahui:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f left parenthesis straight x right parenthesis end cell equals cell straight x squared minus 5 straight x plus 6 end cell row cell straight g left parenthesis straight x right parenthesis end cell equals cell straight x minus 3 end cell row cell straight h left parenthesis straight x right parenthesis end cell equals cell straight f left parenthesis straight x right parenthesis divided by straight g left parenthesis straight x right parenthesis end cell end table end style

Sehingga,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight h open parentheses straight x close parentheses end cell equals cell straight f open parentheses straight x close parentheses divided by straight g open parentheses straight x close parentheses end cell row blank equals cell fraction numerator open parentheses straight x squared minus 5 straight x plus 6 close parentheses over denominator straight x minus 3 end fraction end cell row blank equals cell fraction numerator open parentheses straight x minus 3 close parentheses open parentheses straight x minus 2 close parentheses over denominator straight x minus 3 end fraction end cell row blank equals cell straight x minus 2 end cell end table end style

maka,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight h to the power of straight apostrophe open parentheses straight x close parentheses end cell equals cell 1 times straight x to the power of 1 minus 1 end exponent minus 0 end cell row blank equals cell 1 times straight x to the power of 0 minus 0 end cell row blank equals 1 end table end style

Jadi, diperoleh nilai begin mathsize 14px style straight h to the power of straight apostrophe open parentheses 1 close parentheses equals 1 end style.

Dengan demikian, jawaban yang tepat adalah A.

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