Diketahui f(×)=2× + 5 dan g(×) = ×-1 ×-4 Jika (f o g) (a) =5, maka a
Matematika
Rahmatnandy
Pertanyaan
Diketahui f(×)=2× + 5 dan g(×) = ×-1
×-4
Jika (f o g) (a) =5, maka a
×-4
Jika (f o g) (a) =5, maka a
1 Jawaban
-
1. Jawaban Anonyme
diangggap gini ...???
f(x) = 2x + 5 dan g(x) = (x - 1)/(x - 4).... jika iya
fog(x) = f(g(x)) = f((x - 1)/(x - 4))
= (2(x - 1)/(x - 4)) + 5
= (2(x - 1) + 5(x - 4))/(x - 4)
= (7x - 22)/(x - 4)
fog(a) = 5
(7a - 22)/(a - 4) = 5
7a - 22 = 5(a - 4)
7a - 22 = 5a - 20
2a = 2
a = 1