f(x) + g(x) = (x^2 - 16) + (x - 4)
= x^2 + x - 20
f(x) - g(x) = (x^2 - 16) - (x - 4)
= x^2 - x - 12
f(x).g(x) = (x^2 - 16) x (x - 4)
= x^3 - 4x^2 + 16x - 64
f(x)/g(x) = (x^2 - 16) / (x - 4)
= (x + 4)(x - 4) / (x - 4)
= x + 4
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Penyelesaian
a. f(x) + g(x)
f(x) + g(x) = (x^2 - 16) + (x - 4)
= x^2 + x - 20
b. f(x) - g(x)
f(x) - g(x) = (x^2 - 16) - (x - 4)
= x^2 - x - 12
c. f(x).g(x)
f(x).g(x) = (x^2 - 16) x (x - 4)
= x^3 - 4x^2 + 16x - 64
d. f(x)/g(x)
f(x)/g(x) = (x^2 - 16) / (x - 4)
= (x + 4)(x - 4) / (x - 4)
= x + 4