Response to the following problems and show your work:
1. Use the definition of inverses to determine whether f and g are inverses.
Problem: , f(x)=3x+9, g(x)=1/3x-3
2. For each function that is defined that is one to one,
A) write an equation for the inverse function in the form y=f-1(x)
B) graph f and f-1 on the same axes, and
C) give the domain and the range of f and f-1 . If the function is not one to one, say so.
Problem:y=4x-5
3. For each function that is defined that is one to one,
A) write an equation for the inverse function in the form y=f-1(x)
B) graph f and f-1 on the same axes, and
C) give the domain and the range of f and f-1 . If the function is not one to one, say so.
Problem:y=4/x
4. Solve each equation.(2/3)x=9/4
5. Solve each equation.z5/2=32
6. Future value. Find the future value and interest earned if $56,780 is invested at 5.3% compounded
A). quarterly for 23 quarters.
7. Interest rate. Find the required annual interest rate to the nearest tenth of a percent for $65,000 to grow to $65,325 if interest is compounded quarterly for 5 yr.