Pertanyaan

Diketahui fungsi f ( x − 2 ) = x − 1 3 x dan g ( x + 2 ) = 2 x − 3 . Tentukanlah : a. f ( x )

Diketahui fungsi $f (x - 2) = \frac{3 x}{x - 1}$ dan $g (x + 2) = 2 x - 3$ . Tentukanlah :

a. $f (x)$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px 2px 2px end attributes row cell f left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x plus 6 over denominator x plus 1 end fraction end cell end table end style$

Pembahasan

Diketahui fungsi dan . Maka : Jadi,

Diketahui fungsi $begin mathsize 14px style f open parentheses x minus 2 close parentheses equals fraction numerator 3 x over denominator x minus 1 end fraction end style$ dan .

Maka :

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px 2px 2px end attributes row misalkan colon blank row cell x minus 2 end cell equals t row x equals cell t plus 2 end cell row blank blank blank row cell f open parentheses x minus 2 close parentheses end cell equals cell fraction numerator 3 x over denominator x minus 1 end fraction end cell row cell f open parentheses t close parentheses end cell equals cell fraction numerator 3 open parentheses t plus 2 close parentheses over denominator t plus 2 minus 1 end fraction end cell row blank equals cell fraction numerator 3 t plus 6 over denominator t plus 1 end fraction end cell row cell f open parentheses x close parentheses end cell equals cell fraction numerator 3 x plus 6 over denominator x plus 1 end fraction end cell end table end style$

Jadi, $begin mathsize 14px style table attributes columnalign right center left columnspacing 2px 2px 2px end attributes row cell f left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x plus 6 over denominator x plus 1 end fraction end cell end table end style$