Pertanyaan

Diketahui .Jika f − 1 menyatakan invers dari f dan ,maka

Diketahui $f open parentheses x close parentheses equals fraction numerator p x plus q over denominator x plus 2 end fraction comma q not equal to 0$ . Jika $f^{- 1}$ menyatakan invers dari $f$ dan , maka

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$f open parentheses x close parentheses equals fraction numerator a x plus b over denominator c x plus d end fraction space rightwards arrow f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative d x plus b over denominator c x minus a end fraction M a k a space colon f open parentheses x close parentheses equals fraction numerator p x plus q over denominator x plus 2 end fraction space rightwards arrow f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative 2 x plus q over denominator x minus p end fraction J i k a space f to the power of negative 1 end exponent open parentheses q close parentheses equals negative 1 comma space m a k a space colon space minus 1 equals fraction numerator negative 2 left parenthesis q right parenthesis plus q over denominator q minus p end fraction p minus q equals negative 2 q plus q p equals 0 S e h i n g g a space colon f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative 2 x plus q over denominator x minus 0 end fraction equals fraction numerator negative 2 x plus q over denominator x end fraction J a d i comma space n i l a i space f to the power of negative 1 end exponent open parentheses 2 q close parentheses equals fraction numerator negative 2 open parentheses 2 q close parentheses plus q over denominator 2 q end fraction equals negative fraction numerator 3 q over denominator 2 q end fraction equals negative 3 over 2$