Question

Contoh soal fungsi invers dan jawabannya

Answer 1

Verified answer

Diketahui f(x) = -(2-3x) /2 , maka f-¹(x) sama dengan....

A. ⅔ (1 + x)
B. ⅔ (1 - x)
C. 3/2 (1 + x)
D. -⅔ (1 + x)
E. -3/2 (x - 1)

Pembahasan :
f(x) = -(2-3x) /2
f(x) = (-2+3x) /2

y = (-2+3x) /2
2y = -2+3x
2y + 2 = 3x
x = (2y+2) /3

Jadii..
f-¹(x) = (2x+2) /3
f-¹(x) = 2(x+1) /3
f-¹(x) = ⅔ (x + 1)...(A)


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