Pertanyaan

f ( x ) = x + 5 x − 7 , hitunglah f − 1 ( − 3 ) !

$f (x) = \frac{x - 7}{x + 5}$ , hitunglah $f^{- 1} (- 3)$ !

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

.

f to the power of negative 1 end exponent open parentheses negative 3 close parentheses equals negative 2

Pembahasan

Jadi, .

$table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell fraction numerator x minus 7 over denominator x plus 5 end fraction end cell row a equals cell 1 comma space b equals negative 7 comma space c equals 1 comma space d equals 5 end cell row cell f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell fraction numerator negative d x plus b over denominator c x minus a end fraction end cell row blank equals cell fraction numerator negative 5 x minus 7 over denominator x minus 1 end fraction end cell row cell f to the power of negative 1 end exponent open parentheses negative 3 close parentheses end cell equals cell fraction numerator negative 5 open parentheses negative 3 close parentheses minus 7 over denominator open parentheses negative 3 close parentheses minus 1 end fraction end cell row blank equals cell fraction numerator 15 minus 7 over denominator negative 4 end fraction end cell row blank equals cell fraction numerator 8 over denominator negative 4 end fraction end cell row blank equals cell negative 2 end cell end table$

Jadi, f to the power of negative 1 end exponent open parentheses negative 3 close parentheses equals negative 2 .