f(x) = x+2
g(x) = 2x+3
ditanya:
a.(gof) -1(x)
b. (fog) -1(x)
![]()
g(x) = 2x+3
ditanya:
a.(gof) -1(x)
b. (fog) -1(x)
Jawaban:
[tex](gof) {}^{ - 1}(x) = \frac{x - 7}{2} [/tex]
[tex](fog) {}^{ - 1}(x) = \frac{x - 5}{2} [/tex]
Penjelasan dengan langkah-langkah:
a. (gof)^-1 (x) =.....?
(gof)(x) = g(f(x))
g(x + 2) = 2(x + 2) + 3
2x + 4 + 3 = 2x + 7
(gof)(x) = 2x + 7
y = 2x + 7
2x = y - 7
[tex]x = \frac{y - 7}{2} [/tex]
(gof)^-1 (x) =
[tex] \frac{x - 7}{2} [/tex]
b. (fog)^-1 (x) =.....?
(fog)(x) = f(g(x))
f(2x + 3) = 2x + 3 + 2
(fog)(x) = 2x + 5
y = 2x + 5
2x = y - 5
[tex]x = \frac{y - 5}{2} [/tex]
(fog)^-1 (x) =
[tex] \frac{x - 5}{2} [/tex]
Maaf kalo salah...
Penjelasan dengan langkah-langkah:
jawaban ada dilampiran yaa
[answer.2.content]
