Jawab:
f(x) = x² + 3x + 0
g(x) = x - 2
a.
(f + g)(x) = f(x) + g(x)
= (x² + 3x + 0) + (x - 2)
= x² + (3x + x) + (0 - 2)
= x² + 4x - 2
(f + g)(x) = x² + 4x - 2
b.
(f - g)(x) = f(x) - g(x)
= (x² + 3x + 0) - (x - 2)
= x² + (3x - x) + (0 - (-2))
= x² + 2x + 2
= (x + 1)²
(f - g)(x) = x² + 2x + 2 = (x + 1)²
c.
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Jawab:
f(x) = x² + 3x + 0
g(x) = x - 2
a.
(f + g)(x) = f(x) + g(x)
= (x² + 3x + 0) + (x - 2)
= x² + (3x + x) + (0 - 2)
= x² + 4x - 2
(f + g)(x) = x² + 4x - 2
b.
(f - g)(x) = f(x) - g(x)
= (x² + 3x + 0) - (x - 2)
= x² + (3x - x) + (0 - (-2))
= x² + 2x + 2
= (x + 1)²
(f - g)(x) = x² + 2x + 2 = (x + 1)²
c.