SIMULADO ESPECIAL 3 - FUNÇÕES E LOGARÍTMOS - MATPASSOAPASSO

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Funções e Funções Logarítmicas I 
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• pág. 2 
 
ÍNDICE 
 
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• pág. 3 
 PARTE TEÓRICA DA MATÉRIA 
Para assistir basta clicar na imagem 
 
 
 
 
 
 
 
 
Regras para viver a realidade do concurso 
1ª) Sente numa cadeira simulando o concurso; 
2ª) Seja honesto(a) consigo mesmo(a) e não use qual-
quer dispositivo eletrônico: celular, calculadora etc ou 
folha de rascunho; 
3ª) Ao iniciar o simulado a partir da 1a questão crono-
metre o tempo e faça esse simulado em 30min total; 
4ª) Comece pelas questões que sente que tem domí-
nio. 
 
𝐄𝐬𝐭𝐞 𝐬𝐢𝐦𝐮𝐥𝐚𝐝𝐨 é 𝐜𝐨𝐦𝐩𝐨𝐬𝐭𝐨 𝐩𝐨𝐫 6 𝐪𝐮𝐞𝐬𝐭õ𝐞𝐬 𝐜𝐚𝐝𝐚 
𝐮𝐦𝐚 𝐯𝐚𝐥𝐞𝐧𝐝𝐨 2 𝐩𝐨𝐧𝐭𝐨s. 
 
Está pronto(a)? Comece o simulado! 
 
 
1) (EsPCEx) A função f, de do-
mínio real mais amplo possível, 
é tal que 𝑓(𝑥) =
𝑎𝑥+𝑏−5
𝑎𝑥+3𝑏
, sabendo 
que f(3) não existe e f(-1)=1, o 
valor de a²+b² é: 
 
 
 
 
 
 
2) (AFA) Sejam A={9,1,2,3} e 
f:A->A uma função definida por 
f(0)=1, f(1)=2, f(2)=3 e f(3)=0. 
Calculando fofofofof(1) encon-
tra-se: 
 
 
 
 
 
 
 
3) Sejam h(x)=x³ e 𝑡 =
1
1+𝑥
 com 
x≠ -1 e f(x)=t(h(2x)). O valor de 
𝑓−1 (
1
9
) é: 
 
 
 
 
 
 
 
4) (EsPCEx) Na função f(x)=3x-
2, sabemos que f(a)=b-2 e 
f(b)=2b+a. O valor de f(f(a)) é: 
 
 
 
 
 
5) Se x=10
1
1−𝑙𝑜𝑔𝑧 e 𝑦 = 10
1
1−𝑙𝑜𝑔𝑥 então: 
 
a) 𝑧 = 10
1
𝑙𝑜𝑔𝑥+𝑙𝑜𝑔𝑦 
b) 𝑧 = 10𝑙𝑜𝑔𝑥−𝑙𝑜𝑔𝑦 
c) 𝑧 = 10
1
𝑙𝑜𝑔𝑦 
d) 𝑧 = 10
1
1−𝑙𝑜𝑔𝑦 
e) 𝑧 = 101+𝑙𝑜𝑔𝑦 
CORREÇÃO DESTA QUESTÃO 
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CORREÇÃO DESTA QUESTÃO 
APERTE NO PLAY! 
CORREÇÃO DESTA QUESTÃO 
APERTE NO PLAY! 
CORREÇÃO DESTA QUESTÃO 
APERTE NO PLAY! 
CORREÇÃO DESTA QUESTÃO 
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• pág. 4 
 6) Quais as raízes da equação 2(1 + 𝑙𝑜𝑔𝑥²10) =
(
1
𝑙𝑜𝑔𝑥−1
)
2
? 
 
a) 
1
10
 e 
1
√10
 
b) 
1
10
 e √10 
c) 10 e 
1
√10
 
d) 10 e √10 
 
 
 
 
 
 
 
 
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