1 MAC1105, College Algebra Study Questions for Common Final ...

80. Using the accompanying table, evaluate the following expressions in parts (a) – (d).
x 0 1 2 3 4 5
f(x) -3 -1 5 15 29 47
X 0 1 2 3 4 5
g(x) -3 -5 -11 -21 -35 -53
a. (f + g)(2) b. (g – f)(2) c. (f ∙ g)(3) d. (
)(1)
81. For the following function, identify the any horizontal and/or vertical asymptotes. Then, if
possible, use technology to graph the function and verify your results.
f(x) =
82. From the accompanying table, find:
a. f(g(1)) b. g(f(1)) c. f(g(0)) d. g(f(0)) e. f(f(2))
X f(x) g(x)
0 2 1
1 1 0
2 3 3
3 0 2
83. Using the accompanying graphs, find:
a. g(f(2)) b. f(g(-1)) c. g(f(0)) d. g(f(1))
84. Given F(x) = 2x + 1 and G(x) =
, find:
a. F(G(1)) d. F(F(0))
b. G(F(-2)) e. (F ∘ G)(x)
c. F(G(2)) f. (G ∘ F)(x)
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