jika diketahui fungsi f(x) = 5x + 2/3x - 1, x ≠ ⅓ dan g(x) = 3x + 2, maka (f-¹ o g)(1) adalah... A.16/35 B.15/24 C.7/8 D.34/56 E.6/4
Matematika
andiayu08
Pertanyaan
jika diketahui fungsi f(x) = 5x + 2/3x - 1, x ≠ ⅓ dan g(x) = 3x + 2, maka (f-¹ o g)(1) adalah...
A.16/35
B.15/24
C.7/8
D.34/56
E.6/4
A.16/35
B.15/24
C.7/8
D.34/56
E.6/4
1 Jawaban
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1. Jawaban arsetpopeye
g(x) = 3x + 2
g(1) = 3(1) + 2 = 5
f(x) = (ax + b)/(cx + d)
f-¹(x) = (-dx + b)/(cx - a)
f(x) = (5x + 2)/(3x - 1)
f-¹(x) = (x + 2)/(3x - 5)
(f-¹ o g)(1)
= f-¹ (g(1))
= f-¹ (5)
= (5 + 2)/(3(5) - 5)
= 7/10