Penjelasan dengan langkah-langkah:
g(x) = 5/(x - 2)
(fog)(x) = 2x - 3
cari invers g(x)
y = 5/(x - 2)
y(x - 2) = 5
xy - 2y = 5
xy = 5 + 2y
x = (5 + 2y)/y
(fog)(x) = f(g(x))
2x - 3 = f(5/(x - 2))
f(5/(x - 2)) = 2x - 3
f(y) = 2(5 + 2y/y) - 3
f(y) = (10 + 4y)/y - 3
f(y) = (10 + 4y - 3y)/y
f(y) = (10 + y)/y
f(x) = (10 + x)/x
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Penjelasan dengan langkah-langkah:
g(x) = 5/(x - 2)
(fog)(x) = 2x - 3
cari invers g(x)
g(x) = 5/(x - 2)
y = 5/(x - 2)
y(x - 2) = 5
xy - 2y = 5
xy = 5 + 2y
x = (5 + 2y)/y
(fog)(x) = f(g(x))
2x - 3 = f(5/(x - 2))
f(5/(x - 2)) = 2x - 3
f(y) = 2(5 + 2y/y) - 3
f(y) = (10 + 4y)/y - 3
f(y) = (10 + 4y - 3y)/y
f(y) = (10 + y)/y
f(x) = (10 + x)/x