Pertanyaan

$Diketahui space fungsi space f left parenthesis x right parenthesis space equals space space fraction numerator space 2 x space plus 1 space over denominator space x space long dash space 4 end fraction comma space x not equal to 4. space space Invers space dari space f left parenthesis x right parenthesis space adalah space.... space$

$f to the power of negative 1 end exponent left parenthesis x right parenthesis space equals fraction numerator 2 x long dash 1 over denominator x space plus space 4 end fraction comma space x not equal to 4 space space space$
$f to the power of negative 1 end exponent left parenthesis x right parenthesis space equals fraction numerator 4 x space plus 1 over denominator space x space plus space 2 end fraction comma space x space not equal to long dash 2 space space$
$f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 4 x minus 1 space over denominator x space plus space 2 end fraction space comma space x space not equal to long dash 2$
$f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 4 x plus 1 over denominator x space long dash space 2 space end fraction comma space x not equal to 2 space$
$f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 4 x space long dash 1 over denominator x space long dash space 2 space end fraction space comma space x not equal to 2 space space space space space space$

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

$space f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction space memiliki space invers space colon space space f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative d x plus b over denominator c x minus a end fraction f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator x minus 4 end fraction maka space invers minus nya space menjadi space f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 4 x plus 1 over denominator x minus 2 end fraction$