## Transcribed Text

5. Compute the indicated values of the given function.
g(x) = x +
1
x
; g(1); g(1); g(2)
13. Compute the indicated values of the given function.
h(x) =
(
2x + 4 if x 1
x2 + 1 if x > 1
h(3); h(1); h(0); h(3)
19. Determine the domain of the given function.
g(x) =
x2 + 5
x + 2
21. Determine the domain of the given function.
f(x) =
p
2x + 6
In questions 57 and 59, the demand function p = D(x) and the total cost function C(x)
for a particular commodity are given in terms of the level of production x.
In each case, nd:
a) The revenue R(x) and prot P(x)
b) All values of x for which production of the commodity is protable.
57. D(x) = 0:02x + 29; C(x) = 1:43x2 + 18:3x + 15:6
59. D(x) = 0:5x + 39; C(x) = 1:5x2 + 9:2x + 67
7. Find the indicated limit if it exists: limx!2(3x2 5x + 2)
19. Find the indicated limit if it exists: limx!5(x2 3x 10)x 5
31. Find limx!+1 and limx!1 f(x). If the limiting value is innite, indicate whether it
is +1 or 1.
f(x) =
x2 2x + 3
2x2 + 5x + 1
37. Use the graph to determine limx!+1 f(x) and limx!1 f(x)
1
4. Find the one-sides limits limx!2 f(x) and limx!2+ f(x) from the given graph of f and
determine whether limx!2 f(x) exists.
24. Decide if the given function is continuous at the specied value of x.
f(x) =
(
x + 1 if x 2
2; if x > 2
at x = 2
31. List all the values of x for which the given function is not continuous.
f(x) =
x + 1
x 2
37. List all the values of x for which the given function is not continuous.
f(x) =
x
x2 x
2

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