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Diketahui f(x)=1+x​ dan g(x)=x−3. Carilah: a. f−1(x)

Pertanyaan

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals square root of 1 plus x end root end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x minus 3 end style. Carilah:

a. begin mathsize 14px style f to the power of negative 1 end exponent left parenthesis x right parenthesis end style 

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals x squared minus 1 end style

Pembahasan

begin mathsize 14px style f left parenthesis x right parenthesis equals square root of 1 plus x end root end style

Misalkan begin mathsize 14px style f open parentheses x close parentheses equals y end style, maka :

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell square root of 1 plus x end root end cell equals y row cell 1 plus x end cell equals cell y squared end cell row x equals cell y squared minus 1 end cell row cell f to the power of negative 1 end exponent open parentheses y close parentheses end cell equals cell y squared minus 1 end cell end table end style

Jadi, begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals x squared minus 1 end style

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