7/30/2019 AP - MC - Prerequisites
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AP MC Questions Unit 1 Prerequisites NAME: _____________________________________
1. If the function f is defined by 1)( 5 xxf , then 1f is defined by )(1 xf a)
1
1
5x
b)5 1
1
xc) 5 1x d) 15 x e) 5 1x
2. If1
4)(
xxf and g(x) =2x, then the solution set of f(g(x))=g(f(x)) is
a)3
1b) 2 c) 3 d) (-1,2) e) (
3
1,2)
3. If ,5)(and543)( 23 xgxxxxf then g(f(x))=a) 2520155b)25155
232 xxxxx c) 1,125
d) 225 e) 5
4. Which of the following equations has a graph that is symmetric with respect to the origin?a) 62xyc)3b)1 245 xxxy
x
xy
d) 1)1(3 xy e) 1)1(
22 xy
5. Suppose that f is a function that is defined for all real numbers. Which of the following conditionsassures that f has an inverse?
a) The function f is periodic.b) The graph of f is symmetric with respect to the y-axis.c) The graph is strictly increasing.d) The function is continuous.
6. The domain of the function )4ln()( 2 xxf is the set of all real numbers x such thata) 2x b) xe)2xd)2xc)2 x is a real number
7. 10ln e a) e)10(lne)ed)ec)
log
1b)ln 1010
10
10e
e
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