math pre calc

Math 121 – Written Homework 3 Due Tuesday, February 5, before 11:59pm

1. Let and

a. Evaluate

b. Evaluate

c. Evaluate

2. Let Evaluate .

f x( ) = 3x−1 g x( ) = x2 +7x−2 f !g( ) −2( ) = f g −2( )( )

f !g( ) x( ) = f g x( )( )

g! f( ) x( ) = g f x( )( )

h x( ) = 2x+5 x−3

. h−1 x( )

3. Sketch a graph of

4. Solve the following equations: a.

b.

c.

d.

f x( ) = 3+2−x

2x+3 = 32x

81x = 1 27

25−x+2 =125x+1

ex 2

= e7x ⋅e−6

5. Evaluate the following:

a.

b.

c.

d.

6. Construct the graph of

lim n→∞

1+ 1 n

⎛ ⎝⎜

⎞ ⎠⎟

n

log264

log3 1 243

⎛ ⎝⎜

⎞ ⎠⎟

lne10

f x( ) = log3 x+4( )

7. Solve the following equations. a.

b.

c.

8. Solve the following equations. a.

b.

log2 3x+1( ) = 4

log 4x+60( ) = 2

log2 x 2 +5x+12( ) = 3

e2x =12

7x+3 =11