Pertanyaan

Tentukan invers fungsi dari : b. f ( x ) = 2 x − 5 3 x + 1

Tentukan invers fungsi dari :

b. $f (x) = \frac{3 x + 1}{2 x - 5}$

Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell fraction numerator 3 x plus 1 over denominator 2 x minus 5 end fraction end cell row y equals cell fraction numerator 3 x plus 1 over denominator 2 x minus 5 end fraction end cell row cell 2 x y minus 5 y end cell equals cell 3 x plus 1 end cell row cell 2 x y minus 3 x end cell equals cell 5 y plus 1 end cell row cell x open parentheses 2 y minus 3 close parentheses end cell equals cell 5 y plus 1 end cell row x equals cell fraction numerator 5 y plus 1 over denominator 2 y minus 3 end fraction end cell row cell f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell fraction numerator 5 x plus 1 over denominator 2 x minus 3 end fraction end cell end table end style$