jika f(x) = 2x+b dan f pangkat -1(-3) = 0 , maka nilai f(f(1)) adalah.... a. -7 b. -5 c. -3 d. 0 e. 1

◾ Materi : Invers
◾ Sub materi : Fungsi Invers
◾ Mapel : Matematika
◾ Keyword : Fungsi Invers

Jawab :
f(x) = 2x + b
y = 2x + b
2x = y-b
x = (y-b) / 2
f-¹(x) = (x-b) /2

Maka,
f-¹(-3) = 0
-3-b / 2 = 0
-3-b = 0
b = -3

Jadi, f(x) = 2x - 3
f(f(1)) = f(2(1) - 3)
= f(-1) = 2(-1) -3 = -2-3 = -5

Jawaban : B

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-vin