Pre-Cal

A)

1.Graph the following
f(x)=2^x 
g(x)=2^(x+3)+1
2. What are the transformations between f(x) and g(x)?

 

B)

1.Graph the following

h(x)=logBASE2 * x

j(x)= -logBASE2 * (x-3)

2. What are the x and y intercepts for j(x)?

 

C)Solve for x

1. logBASEx (1/64) = -3

2. logBASE3(x+4)+logBASE3(x+5)=logBASE3(4-x)

3. 2^(x-1)=3^(x+2)

4. 9^x – 3^(x+2)=90

 

D)

f(x)=(2x-3)/(4)

g(x)=x^2-2

 

1. Find f(g(1))

2. Simplified rule for g o f(x)

3. Simplified rule for f^1(x)

4. Domain of Domain of (f(x))/(g(x))

5. Is f(x) a one-to-one function? Why/why not?