Pertanyaan

Diketahui f ( x ) = 2 x + 3 Tentukan f − 1 ( x ) dan f − 1 ( − 1 )

Diketahui $f (x) = 2 x + 3$
Tentukan $f^{- 1} (x)$ dan $f^{- 1} (- 1)$

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

dan .

$begin mathsize 14px style f to the power of negative 1 end exponent table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x minus 3 over denominator 2 end fraction end cell end table end style$ dan

Pembahasan

Diketahui . Diperoleh Jadi, dan .

Diketahui . Diperoleh

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell 2 x plus 3 end cell row cell f open parentheses x close parentheses minus 3 end cell equals cell 2 x end cell row x equals cell fraction numerator f open parentheses x close parentheses minus 3 over denominator 2 end fraction end cell row blank blank blank row cell f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell fraction numerator x minus 3 over denominator 2 end fraction end cell row cell f to the power of negative 1 end exponent left parenthesis negative 1 right parenthesis end cell equals cell fraction numerator negative 1 minus 3 over denominator 2 end fraction end cell row blank equals cell fraction numerator negative 4 over denominator 2 end fraction end cell row blank equals cell negative 2 end cell row blank blank blank end table end style$

Jadi, $begin mathsize 14px style f to the power of negative 1 end exponent table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x minus 3 over denominator 2 end fraction end cell end table end style$ dan .