Pertanyaan

Diketahui ( f ∘ h ) ( x ) = 4 x 2 + 6 x − 5 dan f ( x ) = 2 x − 1 . Tentukan fungsi h ( x ) !

Diketahui $(f \circ h) (x) = 4 x^{2} + 6 x - 5$ dan $f (x) = 2 x - 1$ . Tentukan fungsi $h (x)$ !

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

fungsi .

fungsi

begin mathsize 14px style h open parentheses x close parentheses equals 2 x squared plus 3 x minus 2 end style

Pembahasan

Jadi, fungsi .

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

Jadi, fungsi begin mathsize 14px style h open parentheses x close parentheses equals 2 x squared plus 3 x minus 2 end style .