Pertanyaan

Diketahui f ( x ) = 2 x + 5 dan h ( x ) = x − 4 3 x − 1 . Jika ( f ∘ h ) ( x ) = 9 , maka tentukan nilai x !

Diketahui $f (x) = 2 x + 5$ dan $h (x) = \frac{3 x - 1}{x - 4}$ . Jika $(f \circ h) (x) = 9$ , maka tentukan nilai $x$ !

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

nilai .

nilai

Pembahasan

Sehingga, nilai .

$table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator h right parenthesis left parenthesis x right parenthesis end cell equals 9 row cell f open parentheses h open parentheses x close parentheses close parentheses end cell equals 9 row cell f open parentheses fraction numerator 3 x minus 1 over denominator x minus 4 end fraction close parentheses end cell equals 9 row cell 2 open parentheses fraction numerator 3 x minus 1 over denominator x minus 4 end fraction close parentheses plus 5 end cell equals 9 row cell fraction numerator 6 x minus 2 over denominator x minus 4 end fraction end cell equals 4 row cell 6 x minus 2 end cell equals cell 4 x minus 16 end cell row cell 2 x end cell equals cell negative 14 end cell row x equals cell negative 7 end cell row blank blank blank end table$

Sehingga, nilai x equals negative 7 .