Exame Nacional de Matemática (12.a Classe) Practice Questions - Angola 12th Grade National Examination - Mathematics (Exame Nacional de Matemática da 12.a Classe) Exam - Exame Nacional de Matemática (12.a Classe) Practice Questions - Angola 12th Grade National Examination - Mathematics (Exame Nacional de Matemática da 12.a Classe) Exam

Question 1

What is the domain of the real function f(x) = sqrt((3x - 6)/(x + 1))?

(-inf, -1) U [2, +inf) (-1, 2] [-1, 2] (-inf, -1] U [2, +inf)

Correct Answer:

(-inf, -1) U [2, +inf)

Question 2

Given the bijective function f(x) = (2x + 5)/(x - 3) for x != 3, what is its inverse function f^(-1)(x)?

f^(-1)(x) = (x - 3)/(2x + 5) f^(-1)(x) = (3x + 5)/(x - 2) f^(-1)(x) = (3x - 5)/(x + 2) f^(-1)(x) = (2x - 5)/(x + 3)

Correct Answer:

f^(-1)(x) = (3x + 5)/(x - 2)

Question 3

Given the functions f(x) = sqrt(x - 4) and g(x) = x^2 - 5, what is the composite function (f o g)(x) and its natural domain in R?

(f o g)(x) = sqrt(x^2 - 9) with domain (-inf, -3] U [3, +inf) (f o g)(x) = x - 3 with domain [3, +inf) (f o g)(x) = sqrt(x^2 - 9) with domain [-3, 3] (f o g)(x) = x^2 - 9 with domain R

Correct Answer:

(f o g)(x) = sqrt(x^2 - 9) with domain (-inf, -3] U [3, +inf)

Question 4

Which of the following real functions is an odd function (função ímpar)?

f(x) = x^2 + cos(x) f(x) = x^3 / (x^2 + 1) f(x) = |x| - 3x^2 f(x) = e^x - e^(-x) + 2

Correct Answer:

f(x) = x^3 / (x^2 + 1)

Question 5

Solve the logarithmic equation ln(x + 2) + ln(x - 1) = ln(10) in the set of real numbers.

x = -4 and x = 3 x = 3 x = 4 x = ln(10)

Correct Answer:

x = 3

Question 1

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Prepare with the Exame Nacional de Matemática (12.a Classe) Practice Questions - Angola 12th Grade National Examination - Mathematics (Exame Nacional de Matemática da 12.a Classe) Exam practice quiz. This question bank includes 57 questions covering function, value, find, limit, and equation. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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Exame Nacional de Matemática (12.a Classe) Practice Questions - Angola 12th Grade National Examination - Mathematics (Exame Nacional de Matemática da 12.a Classe) Exam

This practice set contains 57 questions from the matching question bank and focuses on function, value, find, limit, and equation. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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Exame Nacional de Matemática (12.a Classe) Practice Questions - Angola 12th Grade National Examination - Mathematics (Exame Nacional de Matemática da 12.a Classe) Exam

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