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
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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