Diketahui f(x) 4 – 1/2 x nilai dari f-¹ (-1) adalah….

diketahui f(x) 4 – 1/2 x nilai dari f-¹ (-1) adalah….

Jawabannya adalah 10

Asumsikan soal :
diketahui f(x) = 4 – 1/2 x nilai dari f-¹ (-1) adalah….

Konsep :
Ada 3 langkah untuk menentukan fungsi invers, yaitu:
1. Ubahlah bentuk y = f(x) menjadi bentuk x = f(y).
2. Tuliskan x sebagai f⁻¹(y) sehingga f⁻¹(y) = f(y).
3. Ubahlah variabel y dengan x sehingga diperoleh rumus fungsi invers f⁻¹(x)

Jawab :
y = 4 – 1/2 x
y + 1/2 x = 4
1/2 x = -y + 4
x = 2(-y+4)
x = -2y + 8
f⁻¹(y) = -2y + 8
f⁻¹(x) = -2x + 8
f⁻¹(-1) = -2(-1) + 8 = 2 + 8 = 10

Jadi nilai dari f⁻¹(-1) = 10

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