Jawab:
Penjelasan dengan langkah-langkah:
3a] f(x) = 7x + 9
g(x) = 3 . (2 - 3x)
g(x) = 6 - 9x
(f - g) (x)
= 7x + 9 - (6 - 9x)
= 7x + 9 - 6 + 9x
= 16x + 3
(f + g) (x)
= 7x + 9 + 6 - 9x
= -2x + 15
(f : g) (x) = (7x + 9)/(6 - 9x)
(f : g) (1)
= (7 . 1 + 9)/(6 - 9 . 1)
= 16/-3
= -16/3
= -5 1/3
b] f(x) = 4x + 3
f(x²) = 4x² + 3
(f(x))² = (4x + 3)² = 16x² + 24x + 9
2 f(x) = 2 . (4x + 3) = 8x + 6
f(x²) + (f(x))² - 2 f(x)
= 4x² + 3 + 16x² + 24x + 9 - (8x + 6)
= 20x² + 24x - 8x + 12 - 6
= 20x² + 16x + 6
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Jawab:
Penjelasan dengan langkah-langkah:
Penjelasan dengan langkah-langkah:
3a] f(x) = 7x + 9
g(x) = 3 . (2 - 3x)
g(x) = 6 - 9x
(f - g) (x)
= 7x + 9 - (6 - 9x)
= 7x + 9 - 6 + 9x
= 16x + 3
(f + g) (x)
= 7x + 9 + 6 - 9x
= -2x + 15
(f : g) (x) = (7x + 9)/(6 - 9x)
(f : g) (1)
= (7 . 1 + 9)/(6 - 9 . 1)
= 16/-3
= -16/3
= -5 1/3
b] f(x) = 4x + 3
f(x²) = 4x² + 3
(f(x))² = (4x + 3)² = 16x² + 24x + 9
2 f(x) = 2 . (4x + 3) = 8x + 6
f(x²) + (f(x))² - 2 f(x)
= 4x² + 3 + 16x² + 24x + 9 - (8x + 6)
= 20x² + 24x - 8x + 12 - 6
= 20x² + 16x + 6