Penjelasan dengan langkah-langkah:
1. f(x) = x - 1
g(x) = 3x + 5
a. (fog)(x)
= f(g(x))
= (3x + 5) - 1
= 3x + 4
b. (gof)(x)
= g(f(x))
= 3(x - 1) + 5
= 3x - 3 + 5
= 3x + 2
2. f(x) = 2x + 5
g(x) = (x - 1)/(x + 4)
= 2(x - 1)/(x + 4) + 5
= (2x - 2)/(x + 4) + 5(x + 4)/(x + 4)
= (2x - 2 + 5x + 20)/(x + 4)
= (7x + 18)/(x + 4)
= ((2x + 5) - 1)/((2x + 5) + 4)
= (2x + 4)/(2x + 9)
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Verified answer
Penjelasan dengan langkah-langkah:
1. f(x) = x - 1
g(x) = 3x + 5
a. (fog)(x)
= f(g(x))
= (3x + 5) - 1
= 3x + 4
b. (gof)(x)
= g(f(x))
= 3(x - 1) + 5
= 3x - 3 + 5
= 3x + 2
2. f(x) = 2x + 5
g(x) = (x - 1)/(x + 4)
a. (fog)(x)
= 2(x - 1)/(x + 4) + 5
= (2x - 2)/(x + 4) + 5(x + 4)/(x + 4)
= (2x - 2 + 5x + 20)/(x + 4)
= (7x + 18)/(x + 4)
b. (gof)(x)
= ((2x + 5) - 1)/((2x + 5) + 4)
= (2x + 4)/(2x + 9)