Chapters 11 โ 13_ Cumulative Review
Sample Final Exam
Please answer all the questions and show work where appropriate.
1. Given 32)( 2+โ= xxxf , evaluate and simplify )3(
โ
xf .
2. Graph the parabola 642 2++โ= xxy and state the domain and range.
3. Graph 12)( โ+= xxf and give the domain and range.
4. If 53)( โ= xxf and 106)( 2+โ= xxxg
a. find ))(( xgf โ
b. find )1)(( โโ
gf
5. Show that 153)( += xxf and 5)( 3
1
โ
=
xxg are inverses.
6. Find the inverse of 32)( 3โ+= xxf
7. Graph x
xf 3)( = and xxg 3
log)(
=
on the same set of axes and label at least 4
points each. Give the domain and range of each.
8. Evaluate: a. _____125log5
=
c. _____ln 3=e
b. _____log 9
1
3
=
d. _____10log5=
9. Rewrite as a single logarithm: zyx 22
2
1
2log3loglog2
โ
+
