1.- If f(x) = √x and g(x) = x^{2} - 5x - 1, then g_{°}f equals:

a) x - 5√x - 1

b) √(x^{2} - 5x - 1)

c) (x^{2} - 5x - 1)√x

d) None of them

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

a) x^{2} + 3

b) x^{2}

c) x^{2} -3

d) it doesn't exist

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

is:

a) 7

b) 0

c) 5

4.-

a) ∞

b) -∞

c) 7

d) 1

5.-

b) -1

c) 0

d) ∞

6.-

a) e^{-3/7}

b) e

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

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