Pertanyaan

Jika f ( x ) = 3 x − 2 5 x + 2 , x  = 3 2 , maka f − 1 ( x ) = ....

Jika $f (x) = \frac{5 x + 2}{3 x - 2}, x \neq = \frac{2}{3}$ , maka $f^{- 1} (x) = ....$

$begin mathsize 14px style fraction numerator 2 x plus 2 over denominator 3 x plus 5 end fraction comma space x not equal to negative 5 over 3 end style$
$begin mathsize 14px style fraction numerator 2 x plus 2 over denominator 5 x minus 5 end fraction comma space x not equal to 1 end style$
$begin mathsize 14px style fraction numerator 2 x plus 2 over denominator 3 x minus 5 end fraction comma space x not equal to negative 5 over 3 end style$
$begin mathsize 14px style fraction numerator negative 2 x plus 2 over denominator 3 x minus 5 end fraction comma space x not equal to 5 over 3 end style$

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Diketahui , maka: Jadi, jawaban yang benar adalah C.

Diketahui $begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 5 x plus 2 over denominator 3 x minus 2 end fraction comma space x not equal to 2 over 3 end style$ , maka:

$begin mathsize 14px style space space space space space space space space f open parentheses x close parentheses equals fraction numerator 5 x plus 2 over denominator 3 x minus 2 end fraction space space space space space space space space space space space space y equals fraction numerator 5 x plus 2 over denominator 3 x minus 2 end fraction y open parentheses 3 x minus 2 close parentheses equals open parentheses 5 x plus 2 close parentheses 3 x y minus 2 y equals 5 x plus 2 3 x y minus 5 x equals 2 plus 2 y x open parentheses 3 y minus 5 close parentheses equals 2 y plus 2 space space space space space space space space space space space space x equals fraction numerator 2 y plus 2 over denominator 3 y minus 5 end fraction space space space space f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator 2 x plus 2 over denominator 3 x minus 5 end fraction end style$

Jadi, jawaban yang benar adalah C.