Pertanyaan

Diketahui fungsi f : R → R dan g : R → R dengan f ( x ) = x − 2 dan g ( x ) = 3 x + 4 1 . tentukan : b. ( g ∘ f ) ( 4 )

Diketahui fungsi $f : R \to R$ dan $g : R \to R$ dengan $f (x) = x - 2$ dan $g (x) = \frac{1}{3 x + 4}$ . tentukan :

b. $(g \circ f) (4)$

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell g open parentheses f open parentheses x close parentheses close parentheses end cell row blank equals cell g open parentheses x minus 2 close parentheses end cell row blank equals cell fraction numerator 1 over denominator 3 open parentheses x minus 2 close parentheses plus 4 end fraction end cell row blank equals cell fraction numerator 1 over denominator 3 x minus 6 plus 4 end fraction end cell row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 1 over denominator 3 x minus 2 end fraction end cell end table end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator f right parenthesis left parenthesis 4 right parenthesis end cell equals cell fraction numerator 1 over denominator 3 x minus 2 end fraction end cell row blank equals cell fraction numerator 1 over denominator 3 left parenthesis 4 right parenthesis minus 2 end fraction end cell row cell left parenthesis g ring operator f right parenthesis left parenthesis 4 right parenthesis end cell equals cell 1 over 10 end cell end table end style$

Fungsi Komposisi

Fungsi Invers

Invers Fungsi Komposisi

Latihan Soal Fungsi Komposisi dan Invers

Latihan Bab