Tolong dong

<p>(f o f o f o f)(x) = f(f(f(f(x)))) = x</p><p>f(x) = 1 + x/6</p><p>(f o f)(x) = f(f(x)) = 1 + (1 + x/6)/6 = 1 + 1/6 + x/36 = 7/6 + x/36</p><p>(f o f o f)(x) = f(7/6 + x/36) = 1 + (7/6 + x/36)/6 = 1 + 7/36 + x/216 = 43/36 + x/216</p><p>(f o f o f o f)(x) = f(43/36 + x/216) = 1 + (43/36 + x/216)/6</p><p>1 + 43/216 + x/1296 = x</p><p>1296/1296 + 43*6/1296 + x/1296 = 1296x/1296</p><p>1296 + 258 = 1295x</p><p>1554 = 1295x</p><p>x = 1554/1295</p><p>x = 6_259/5_7*37</p><p>x = 6</p><p>Jadi, x = 6 memenuhi persamaan tersebut. Namun, perlu diingat bahwa ada kemungkinan jawaban lain. Mari kita coba nilai x yang diberikan:</p><p>Untuk x = -3:</p><p>f(-3) = 1 + (-3)/6 = 1 - 1/2 = 1/2</p><p>f(1/2) = 1 + (1/2)/6 = 1 + 1/12 = 13/12</p><p>f(13/12) = 1 + (13/12)/6 = 1 + 13/72 = 85/72</p><p>f(85/72) = 1 + (85/72)/6 = 1 + 85/432 = 517/432</p><p>517/432 ≠ -3</p><p>Untuk x = -2:</p><p>f(-2) = 1 + (-2)/6 = 1 - 1/3 = 2/3</p><p>f(2/3) = 1 + (2/3)/6 = 1 + 2/18 = 10/9</p><p>f(10/9) = 1 + (10/9)/6 = 1 + 10/54 = 64/54</p><p>f(64/54) = 1 + (64/54)/6 = 1 + 64/324 = 388/324</p><p>388/324 ≠ -2</p><p>Untuk x = 1:</p><p>f(1) = 1 + 1/6 = 7/6</p><p>f(7/6) = 1 + (7/6)/6 = 1 + 7/36 = 43/36</p><p>f(43/36) = 1 + (43/36)/6 = 1 + 43/216 = 259/216</p><p>f(259/216) = 1 + (259/216)/6 = 1 + 259/1296 = 1555/1296</p><p>1555/1296 ≠ 1</p><p>Untuk x = 2:</p><p>f(2) = 1 + 2/6 = 1 + 1/3 = 4/3</p><p>f(4/3) = 1 + (4/3)/6 = 1 + 4/18 = 11/9</p><p>f(11/9) = 1 + (11/9)/6 = 1 + 11/54 = 65/54</p><p>f(65/54) = 1 + (65/54)/6 = 1 + 65/324 = 389/324</p><p>389/324 ≠ 2</p><p>Untuk x = 3:</p><p>f(3) = 1 + 3/6 = 1 + 1/2 = 3/2</p><p>f(3/2) = 1 + (3/2)/6 = 1 + 3/12 = 5/4</p><p>f(5/4) = 1 + (5/4)/6 = 1 + 5/24 = 29/24</p><p>f(29/24) = 1 + (29/24)/6 = 1 + 29/144 = 173/144</p><p>173/144 ≠ 3</p><p>Jadi, jawaban yang tepat adalah x = 6. Namun, karena x = 6 tidak ada di pilihan jawaban, maka kita tidak bisa memilih jawaban yang tepat dari pilihan yang ada.</p><p>Mungkin ada kesalahan dalam perhitungan atau asumsi. Jika kita lihat lagi persamaan awal, (f o f o f o f)(x) = x, maka kita bisa mencoba menyelesaikan persamaan tersebut dengan cara lain.</p><p>(f o f o f o f)(x) = f</p>