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Diketahui fungsi f ( x ) = x + 9 ​ , maka fungsi inversnya adalah...

Diketahui fungsi , maka fungsi inversnya adalah...

  1. begin mathsize 12px style f to the power of negative 1 end exponent open parentheses x close parentheses space equals space x squared space minus space 18 end style

  2. size 12px f to the power of size 12px minus size 12px 1 end exponent open parentheses size 12px x close parentheses size 12px space size 12px equals size 12px space size 12px x to the power of size 12px 2 size 12px space size 12px minus size 12px space size 12px 9

  3. size 12px f to the power of size 12px minus size 12px 1 end exponent open parentheses size 12px x close parentheses size 12px space size 12px equals size 12px space size 12px x to the power of size 12px 2 size 12px space size 12px minus size 12px space size 12px 4

  4. size 12px f to the power of size 12px minus size 12px 1 end exponent open parentheses size 12px x close parentheses size 12px space size 12px equals size 12px space size 12px x to the power of size 12px 2 size 12px space size 12px plus size 12px space size 12px 9

  5. size 12px f to the power of size 12px minus size 12px 1 end exponent open parentheses size 12px x close parentheses size 12px space size 12px equals size 12px space size 12px x to the power of size 12px 2 size 12px space size 12px plus size 12px space size 12px 18

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

maka dapat ditulis menjadi: invers dari y adalah x, jadi:

f left parenthesis x right parenthesis equals y maka f open parentheses x close parentheses equals square root of x plus 9 end root dapat ditulis menjadi:

y equals square root of x plus 9 end root y squared equals x plus 9 comma y squared minus 9 equals x

x equals y squared minus 9 rightwards arrowinvers dari y adalah x, jadi: 

begin mathsize 12px style x space equals space f to the power of negative 1 end exponent open parentheses x close parentheses end style

size 12px f to the power of size 12px minus size 12px 1 end exponent open parentheses size 12px x close parentheses size 12px equals size 12px x to the power of size 12px 2 size 12px minus size 12px 9

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