Soal tentang komposisi mohon bantuan ya ^^.... Question from @Wahyupurnamaa

izharulhaq78 $\displaystyle a.\\(g\circ f)(x)=3\left(\frac{2}{5-3x}\right)^2-1\\(g\circ f)(x)=\frac{12}{9x^2-30x+25}-1\\(g\circ f)(x)=\frac{12-9x^2+30x-25}{9x^2-30x+25}\\(g\circ f)(x)=\frac{-9x^2+30x-13}{9x^2-30x+25}\\\boxed{\boxed{(g\circ f)(x)=-\frac{9x^2-30x+13}{9x^2-30x+25}}}$

$\displaystyle b.\\(f\circ g)(2)=\frac{2}{5-3(3(2)^2-1)}\\(f\circ g)(2)=\frac{2}{5-3(12-1)}\\(f\circ g)(2)=\frac{2}{5-3(11)}\\(f\circ g)(2)=\frac{2}{5-33}\\(f\circ g)(2)=\frac{2}{-28}\\\boxed{\boxed{(f\circ g)(2)=-\frac{1}{14}}}$

$\displaystyle (f\circ g)(x)=\frac{2}{8-9x^2}\\y=\frac{2}{8-9x^2}\\y(8-9x^2)=2\\8y-9yx^2=2\\8y-2=9yx^2\\\frac{8y-2}{9y}=x^2\\\pm\sqrt{\frac{8y-2}{9y}}=x\\\boxed{\boxed{(f\circ g)^{-1}(x)=\pm\sqrt{\frac{8x-2}{9x}}}}$

2 votes Thanks 2

georgemini A.) (g o f) (x) = g (f(x)) = g (2/ 5 -3x) = 3(2/5-3x)^2 - 1 =

= 12/ 9x^2 -30x + 25 - 1

= (-9x^2 + 30x - 13)/(9x^2 - 30x + 25)

b.) (f o g) (2) = f ( g(2)) = f (3.2^2 - 1) = f(11) = 2/5 - 3.11 = 2/(-28) = -1/14

c.) (fog)^-1(x) = invers (fog)(x)

y = (fog)(x) = f(g(x)) = f(3x^2 - 1) = 2/5-3(3x^2 -1) = 2/8- 9x^2

(f o g)(x) = 2/8-9x^2

8 - 9x^2 = 2/ (fog) (x)

9x^2 = 8 - 2/ (fog) (x)

x^2 = 8/9 - 2/ 9(fog) (x)

x = $\sqrt{8/9 - 2/ 9.(fog) (x)}$

:. jadi, (fog)^-1 (x) = $\sqrt{8/9 - 2/ 9.(fog) (x)}$

0 votes Thanks 0

Buat catatan kakii dan daftarr pustakaa piss kaka Nama penulis = Muhammad Abdul ghafar Rizki judulnya = tips jitu lancar berbahasa inggris penerbit = buku media kota = jakarta tahun = 2009 hlm = 44

Help cara membaca tabel z gimana ? kok bisa dapat = 1.28

Tentukan determinan matriks 4 x 4 a = [2 -1 3 -1] [-1 -2 -1 -1][3 3 1 3] [-2 2 -2 2] tentukan determinan matriks 4 x 4

[ 4 2 ] = [ 4 2 ] [ 5p+4 5 ] [ 2 4+3 ] maka : 4p + 3 4 =

1. tentukan invers dari matriks c = [ 2 1 1 ] [ 0 5 -2 ] [ 1 -3 4 ]

Mohon bantuannya kk methodeee elimiinasi gaussss spl

Dik matriks [ 4 2 ] = [ 4 2 ] [ 5p + g 5 ] [2 g+3] lalu 5p + 2g = ...????

0,81^3/4 = 49^5/4 = mohon pake caranya kk

Ada yg bisa jelaskan peggunaan "s" Contohnya seperti -traveler's -studies Mohon jelaskan ada yg pake kutip trs pk s, Trs ada s doang kaya studies

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