02 emgega material de estudio semana2 t2

𝑓: ℝ → ℝ 𝑓(𝑥) = 𝑥 2 + 𝑥 − 1 𝑥

𝑦 𝑓 𝑥

𝑦

𝑦 = 𝑓(𝑥) = 𝑥 2 + 𝑥 − 1

𝑓(𝑥)

𝑓(𝑥) = √𝑥 − 2 𝑥 𝑥−2≥0

𝑥∈

[2, ∞)

[2, ∞).

𝑓

𝑔(𝑥) = log(5𝑥 − 8) 5𝑥 − 8 > 0

8

𝑥 ∈ (5 , ∞) 𝑔

𝑥 2 +9𝑥−9

ℎ(𝑥) = 𝑥 2 −𝑥−20

𝑥1 = −4

𝑥2 = 5

𝑥 ∈ ℝ − {−4,5}

𝑓 𝑓

𝑔 𝑔

(𝑔 ∘ 𝑓)(𝑥)

𝑓 𝑔 𝑓

(𝑓 ∘ 𝑔)(𝑥) = 𝑥

(𝑔 ∘ 𝑓)(𝑥) = 𝑥

𝑔 𝑔

𝑓 −1

𝑓

𝑓 𝑓

𝑥−5

𝑥−5

𝑓(𝑥) = 𝑥+9

𝑥=

𝑦 = 𝑥+9 −9𝑦−5 𝑦−1

𝑥 𝑓

𝑓 −1 (𝑥) =

−9𝑥−5 𝑥−1