Ws P.3 - Simplifying Expressions And Algebraic Gymnastics Worksheet Page 7
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10Calculus Maximus
WS P.3: Simplifying Expressions
and if
f
?
3
2
_____ 21. If
f x
2
x
Ax
Bx
5
f
2
3
and
2
37
, what is the value of A B
(A) 6
(B) 3
(C) 1
(D) 2
(E) It cannot be determined from the information given
_____ 22. Suppose that f is a function that is defined for all real numbers. Which of the following
conditions assures that f has an inverse function?
(A) The function f is periodic
(B) The function f is symmetric with respect to the y-axis
(C) The function f is concave up
(D) The function f is a strictly increasing function
The function f is continuous
a
, then a
a
_____ 23. If
log 2
a
4
(A) 2
(B) 4
(C) 8
(D) 16
(E) 32
g x
g x
2
2
_____ 24. If
f g x
ln
x
4
,
f x
ln
x
, and
0
for all real x, then
1
1
x
x
x
2
2
(A)
(B)
(C)
4
(D)
4
(E)
2
x
2
x
2
4
4
Page 7 of 10
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