# Exam Exam

1.- If f(x) = √x and g(x) = x2 - 5x - 1, then g°f equals:

 a) x - 5√x - 1 b) √(x2 - 5x - 1) c) (x2 - 5x - 1)√x d) None of them

2.- If f(x)= √(x + 3), then f-1(x) equals:

 a) x2 + 3 b) x2 c) x2 -3 d) it doesn't exist

3.- The limit of f as x approaches 0, if is:

 a) 7 b) 0 c) 5 d) it doesn't exist

4.- a) ∞ b) -∞ c) 7 d) 1

5.- a) 7 b) -1 c) 0 d) ∞

6.- a) e-3/7 b) e c) 0 d) e-21

7.- Determine the value of a and b to do continuous the function: a) a = 1; b = 3 b) a = 3; b = 1 c) a = 1; b = -3 d) a = -3; b = -1

8.- Study the continuity of the function: a) f is continuous in R-{2}. In x = 2 f has a jump discontinuity with jump 2 b) f is continuous in R-{2}. In x = 2 f has a removable discontinuity c) f is continuous in R-{2}. In x = 2 f has a jump discontinuity with jump 1 d) f is continuous in R

9.- Study the continuity of the function: a) f is continuous in R b) f is continuous in R-{5}. In x = 5 f has a removable discontinuity c) f is continuous in R-{5}. In x = 5 f has a jump discontinuity with jump 10 d) f is continuous in R-{5}. In x = 5 f has a jump discontinuity with jump 5

10.- Let Which of these sentences is true?

 a) f is continuous in R-{4} b) f(4) doesn't exist c) f is continuous in its domain d) All of them