Pertanyaan

Tentukan rumus fungsi invers tiap fungsi berikut. c. f ( x ) = 1 + x 3 1 , x  = 0

Tentukan rumus fungsi invers tiap fungsi berikut.

c. $f (x) = 1 + \frac{1}{x ^{3}}, x \neq = 0$

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

rumus fungsi invers adalah .

rumus fungsi invers

adalah $begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals cube root of fraction numerator 1 over denominator x minus 1 end fraction end root comma space x greater than 1 end style$ .

Pembahasan

Misalkan , maka: Jadi, rumus fungsi invers adalah .

Misalkan , maka:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell 1 plus 1 over x cubed end cell equals y row cell 1 over x cubed end cell equals cell y minus 1 end cell row cell fraction numerator 1 over denominator y minus 1 end fraction end cell equals cell x cubed end cell row x equals cell cube root of fraction numerator 1 over denominator y minus 1 end fraction end root semicolon space y greater than 1 end cell end table end style$

Jadi, rumus fungsi invers adalah $begin mathsize 14px style f to the power of negative 1 end exponent open parentheses x close parentheses equals cube root of fraction numerator 1 over denominator x minus 1 end fraction end root comma space x greater than 1 end style$ .