𝑓 + 𝑔 𝑥 = 𝑓 𝑥 + 𝑔 𝑥
𝑓 𝑥 = 2𝑥 + 1 𝑔 𝑥 = 𝑥2
𝑓 + 𝑔 𝑥 = 2𝑥 + 1 + 𝑥2
= 𝑥2 + 2𝑥 + 1
𝑓 + 𝑔 3 = 2𝑥 + 1 + 𝑥2
= (3)2+2 3 + 1= 9 + 6 + 1= 16
SUMA
𝑓 − 𝑔 𝑥 = 𝑓 𝑥 − 𝑔 𝑥
𝑓 𝑥 = 2𝑥 + 1 𝑔 𝑥 = 𝑥2
𝑓 − 𝑔 𝑥 = 2𝑥 + 1 − 𝑥2
= −𝑥2 + 2𝑥 + 1
𝑓 − 𝑔 3 = 2𝑥 + 1 − 𝑥2
= −(3)2 + 2 3 + 1= −9 + 6 + 1
= −2
RESTA
𝑓 ∗ 𝑔 𝑥 = 𝑓 𝑥 ∗ 𝑔 𝑥
𝑓 𝑥 = 2𝑥 + 1 𝑔 𝑥 = 𝑥2
𝑓 ∗ 𝑔 𝑥 = 2𝑥 + 1 ∗ 𝑥2
= 2𝑥3 + 𝑥2
𝑓 ∗ 𝑔 3 = 2𝑥 + 1 ∗ 𝑥2
= [2(3) + 1] ∗ 32
= 6 + 1 ∗ 9= 7 ∗ 9= 42
MULTIPLICACION O PRODUCTO
𝑓
𝑔𝑥 =
𝑓(𝑥)𝑔(𝑥)
𝑓 𝑥 = 2𝑥 + 1 𝑔 𝑥 = 𝑥2
𝑓
𝑔𝑥 = 2𝑥 + 1
𝑥2
=2
𝑥+1
𝑥2
𝑓
𝑔3 = 2𝑥 + 1
𝑥2
= 2(3) + 1
32
= 6 + 19
= 7 9
DIVISION O COCIENTE
𝑓 𝑜 𝑔 𝑥 = 𝑓 𝑔(𝑥)
𝑓 𝑥 = 2𝑥 + 1 𝑔 𝑥 = 𝑥2
𝑓 𝑜 𝑔 𝑥 = 2 𝑥2 + 1= 2𝑥2 + 1
𝑓 𝑜 𝑔 3 = 2 𝑥2 + 1= 2 32 + 1= 2 9 + 1= 18 + 1= 19
FUNCION COMPUESTA
𝑔 𝑜 𝑓 𝑥 = 𝑔 𝑓(𝑥)
𝑓 𝑥 = 2𝑥 + 1 𝑔 𝑥 = 𝑥2
𝑔 𝑜 𝑓 𝑥 = (2𝑥 + 1)2
= (2𝑥 + 1)2= 4𝑥2 + 4𝑥 + 1
𝑔 𝑜 𝑓 3 = (2(3) + 1)2
= (6 + 1)2
= (7)2
= 49
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