Jawaban:

1. f(x) = x² - 120

f(10) = -20

2. g(x + 1) = x² + 5x/2 + 1/2

Penjelasan dengan langkah-langkah:

1. cari invers x - 2

y = x - 2

x = y + 2

g^-1(x) = x + 2

g(x - 2) = 2x + 7

g(x) = 2(x + 2) + 7

g(x) = 2x + 11

(f o g)(x) = 4x² + 44x + 1

f(2x + 11) = 4x² + 44x + 1

cari invers f(2x + 11)

y = 2x + 11

2x = y - 11

x = (y - 11) /2

f^-1(x) = (x - 11) / 2

f(2x + 11) = 4x² + 44x + 1

f(x) = 4[(x-11)/2]² + 44[(x-11)/2] + 1

f(x) = (x - 11)² + 22(x - 11) + 1

f(x) = x² - 22x + 121 + 22x - 242 + 1

f(x) = x² - 120

f(10) = 10² - 120

f(10) = 100 - 120

f(10) = -20

2. (f o g)(x) = 2x² + x - 3

2 g(x) - 1 = 2x² + x - 3

2g(x) = 2x² + x - 2

g(x) = x² + ½x - 1

g(x + 1) = (x + 1)² + ½(x + 1) - 1

g(x + 1) = x² + 2x + 1 + ½x + ½ - 1

g(x + 1) = x² + 5x/2 + ½