True or False? In Exercises 87-92, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If D ≠ 0 or E ≠ 0 , then the graph of y 2 − x 2 + D x + E y = 0 is a hyperbola.
True or False? In Exercises 87-92, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If D ≠ 0 or E ≠ 0 , then the graph of y 2 − x 2 + D x + E y = 0 is a hyperbola.
True or False? In Exercises 87-92, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If
D
≠
0
or
E
≠
0
, then the graph of
y
2
−
x
2
+
D
x
+
E
y
=
0
is a hyperbola.
16. Solve each of the following equations for x.
(a) 42x+1 = 64
(b) 27-3815
(c) 92. 27² = 3-1
(d) log x + log(x - 21) = 2
(e) 3 = 14
(f) 2x+1 = 51-2x
11. Find the composition fog and gof for the following functions.
2
(a) f(x) = 2x+5, g(x) = x²
2
(b) f(x) = x²+x, g(x) = √√x
1
(c) f(x) = -1/2)
9
9(x) =
х
=
-
X
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