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Mapel : Matematika
Kelas : X SMA
Bab : Fungsi Komposisi dan Fungsi Invers

Pembahasan :
(F + g)(x)
= f(x) + g(x)
= √(x² - 4) + √(x - 2)
= √[(x + 2)(x - 2)] + √(x - 2)
= √(x - 2) [√(x +2) + 1]

(F - g)(x)
= f(x) - g(x)
= √(x² - 4) - √(x - 2)
= √[(x + 2)(x - 2) - √(x - 2)
= √(x - 2) [√(x + 2) - 1]

(F . G)(x)
= f(x) . G(x)
= √(x² - 4) . √(x - 2)
= √[(x² - 4)(x - 2)]
= √[x³ - 2x² - 4x + 8]
= √[(x - 2)²(x + 2)
= (x - 2)√(x + 2)

(F/G)(x)
= f(x) / g(x)
= √(x² - 4) / √(x - 2)
= √[(x + 2)(x - 2)/(x - 2)]
= √(x + 2)