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?