Persamaan grafik fungsi berikut ini adalah ... a. ^(2)log(x+2) b. ^(2)log(2x+3) c. ^(4)log(x+2) d. ^(4)log(2x+3) e. ^(4)log(3x+2)

<p>Jawaban : c&nbsp;</p><p>&nbsp;</p><p>Ingat!&nbsp;</p><p>Asimtot dari fungsi f(x) = ^(a)log(bx+c) adalah bx+c = 0&nbsp;</p><p>## ^(a)log1 = 0&nbsp;</p><p>## ^(a)log(a^(n)) = n&nbsp;</p><p>&nbsp;</p><p>Diketahui f(x) = ^(a)log(bx+c)&nbsp;</p><p>&nbsp;</p><p>Grafik fungsi melalui (-1,0)&nbsp;</p><p>f(-1) = 0&nbsp;</p><p>^(a)log(-b+c) = 0&nbsp;</p><p>^(a)log(-b+c) = ^(a)log(1)&nbsp;</p><p>-b+c = 1&nbsp;</p><p>&nbsp;</p><p>Grafik fungsi melalui (2,1)&nbsp;</p><p>f(2) = 1&nbsp;</p><p>^(a)log(2b+c) = 1&nbsp;</p><p>^(a)log(2b+c) = ^(a)log(a)&nbsp;</p><p>2b+c = a&nbsp;</p><p>&nbsp;</p><p>Diketahui asimtotnya adalah x = -2&nbsp;</p><p>&nbsp;</p><p>Asimtot dari fungsi f(x) = ^(a)log(bx+c) adalah&nbsp;</p><p>bx+c = 0&nbsp;</p><p>bx = -c&nbsp;</p><p>x = -c/b&nbsp;</p><p>-2 = -c/b&nbsp;</p><p>2b = c&nbsp;</p><p>&nbsp;</p><p>Substitusi c = 2b ke -b+c = 1&nbsp;</p><p>-b+2b = 1&nbsp;</p><p>b = 1&nbsp;</p><p>&nbsp;</p><p>c = 2(1)&nbsp;</p><p>c = 2&nbsp;</p><p>&nbsp;</p><p>2b+c = a&nbsp;</p><p>2(1)+2 = a&nbsp;</p><p>4 = a&nbsp;</p><p>&nbsp;</p><p>Sehingga&nbsp;</p><p>f(x) = ^(a)log(bx+c)&nbsp;</p><p>f(x) = ^(4)log(x+2)&nbsp;</p><p>&nbsp;</p><p>Jadi, persamaan grafik tersebut adalah f(x) = ^(4)log(x+2)&nbsp;</p><p>Pilihan jawaban yang benar adalah c</p>