Name:
Date:
Instructor:
Please use this template to insert your answers for the assignment. Please use one of the three methods for showing your work (EE, ALT keys, or MathType). Remember that your work should be clear and legible. Using the superscript button above (in the font table), you can make powers; example: x2. You may also use Equation Editor as needed too. You may also use Equation Editor as needed too. For instructions, the equations, and examples, please see SLP 5.
On every problem, show all your computations, using the examples in the SLP as a guideline.
Functions f(x) and g(x) are given. For each problem, construct two composite functions . Evaluate each composite function for x=2. (Grading: 20 points for each problem, 5 points for each part.)
1.
Calculations:
(g º f) (x)=
(g º f) (2)=
(f º g) (x)=
(f º g) (2)=
Answers: _______________
2.
Calculations:
(g º f) (x)=
(g º f) (2)=
(f º g) (x)=
(f º g) (2)=
Answers: _______________
3.
Calculations:
(g º f) (x)=
(g º f) (2)=
(f º g) (x)=
(f º g) (2)=
Answers: _______________
4.
Calculations:
(g º f) (x)=
(g º f) (2)=
(f º g) (x)=
(f º g) (2)=
Answers: _______________
5.
Calculations:
(g º f) (x)=
(g º f) (2)=
(f º g) (x)=
(f º g) (2)=
Answers: _______________
2
f(x)x1:g(x)x2x1
=+=++
1
f(x)3x:g(x)
x
==
2
1
f(x)x:g(x)x
x
==-
(
)
(
)
gf(x)andfg(x)
oo
2
f(x)2x:g(x)x
==
f(x)x1:g(x)x2
=+=-