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