Jawaban:

1.a. (f - g) ( x + 5) = 11x - x² - 34

1.b. (f × g)(-1) / 2f(1) = 2

2.a. f(x) = x²

2.b. g(2) = 0

Penjelasan dengan langkah-langkah:

1.a. cari invers dari x + 5

y = x + 5

x = y - 5

f^-1(x) = x - 5

(f - g)(x + 5) = f(x + 5) - g(x + 5)

= f(x + 5 - 5) - g(x + 5 - 5)

= 3(x - 5) - (x - 5)² - 4 - 2(x - 5)

= 3x - 15 - x² + 10x - 25 - 4 - 2x + 10

(f - g)(x) = 11x - x² - 34

1.b.

2.a. cari invers x - 3

y = x - 3

x = y + 3

f^-1(x) = x + 3

f(x - 3) = x² - 6x + 9

f(x - 3 + 3) = (x - 3)²

f(x) = (x + 3 - 3)²

f(x) = x²

2.b. cari invers x + 3

y = x + 3

x = y - 3

f^-1(x) = x - 3

g(x + 3) = 2 + 2x / x

g(x + 3 - 3) = 2 + 2(x - 3) / x - 3

g(x) = 2 + 2x - 6 / x - 3

g(x) = 2x - 4 / x - 3

g(2) = 2(2) - 4 / 2 - 3

g(2) = 0 / -1

g(2) = 0