Tolong bantuannyamau dikumpulinmakasih:)

By Admin ReiPosted on December 4, 2022

Tolong bantuannyamau dikumpulinmakasih:)

Tolong bantuannyamau dikumpulinmakasih:)

$green{huge{9.}}$

Perhatikan gambar terlampir ...

Dari gambar kurva grafik, didapatkan : $f(1)=3$ , dan $g(3)=8$

$(g~o~f)(1)=g(~f(1)~)=g(3)$

$pink{huge{(g~o~f)(1)=8}}$

$huge{to sf (~red{C}~)}$

$\text{[math]}$

$green{huge{10.}}$

$f(x)=x-3$

$(h~o~f)(x)=x^2+2x-1$

$h(~f(x)~)=x^2+2x-1$

$h(x-3)=x^2+2x-1$

Dimisalkan : $y=x-3to x=y+3$ , maka :

$h(y)=(y+3)^2+2.(y+3)-1$

$h(y)=y^2+6y+9+2y+6-1$

$h(y)=y^2+8y+14$

$pink{huge{h(x)=x^2+8x+14}}$

$huge{to sf (~red{???}~)}$

$\text{[math]}$

$green{huge{11.}}$

$f(x)=frac{2x-5}{3}$

$(f~o~g)(x)=4x-5$

$f(~g(x)~)=4x-5$

$frac{2.g(x)-5}{3}=4x-5$

$2.g(x)-5=3.(4x-5)$

$2.g(x)-5=12x-15$

$2.g(x)=12x-15+5$

$2.g(x)=12x-10$

$g(x)=frac{1}{2}.(12x-10)$

$pink{huge{g(x)=6x-5}}$

$huge{to sf (~red{B}~)}$

Gambar Jawaban