Roboguru

Fungsi ditentukan oleh dan dengan . Tentukan: c.

Pertanyaan

Fungsi begin mathsize 14px style f colon R rightwards arrow R comma space g colon R rightwards arrow R comma space dan space h colon R rightwards arrow R end style ditentukan oleh begin mathsize 14px style f left parenthesis x right parenthesis equals x minus 3 comma space left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals x squared end style dan begin mathsize 14px style h left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator x minus 3 end fraction space end styledengan size 14px x size 14px not equal to size 14px 3. Tentukan:

c. begin mathsize 14px style left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis end style

Pembahasan Soal:

Dengan menggunakan sifat invers, begin mathsize 14px style y equals left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis rightwards arrow x equals left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis y right parenthesis end style, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell row y equals cell x squared end cell row x equals cell square root of y end cell row cell left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis y right parenthesis end cell equals cell square root of y end cell row cell left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell square root of x end cell end table end style

Jadi, diperoleh begin mathsize 14px style left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis equals square root of x end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 30 Maret 2021

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