Composite Function Worksheet Form PDF Details

The Composite Function Worksheet form is a tailored educational tool designed to facilitate the understanding and application of composite functions, a fundamental concept in mathematics that involves combining two functions in a specific manner. Students are required to fill in basic information including their name, date, and class period at the top of the form, setting a personal context for the exercise. The worksheet is structured in a way that guides learners through a series of problems, gradually increasing in complexity, with clear instructions to show all work for credit and to circle the final answers, emphasizing the importance of both the process and the result. Starting with functions f(x), g(x), and h(x) defined as 2x – 1, 3x, and x2 + 1 respectively, students are tasked with computing various compositions of these functions, such as f(g(-3)) and h(g(f(5))), to solidify their grasp of how to operate with composite functions. The tasks evolve to encompass different function definitions, reflecting a wide range of scenarios to challenge the student’s ability to apply the concept to different equations. This approach not only tests their computational skills but also encourages a deep understanding of the underlying mathematical principles. By circling the answers, students are prompted to review and ensure the accuracy of their work, fostering a meticulous and thoughtful approach to solving mathematical problems.

QuestionAnswer
Form NameComposite Function Worksheet Form
Form Length2 pages
Fillable?No
Fillable fields0
Avg. time to fill out30 sec
Other namescomposite function worksheet form, composite function worksheet online, transcription worksheet answers, composition of function worksheet answers

Form Preview Example

Name:________________________________

Date:________________ Period:______

 

COMPOSITE FUNCTION WORKSHEET

Directions: Show all work for credit. Work must be neat and answer must be circled.

 

For 1- 9: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following:

1. f(g(-3))

2. f(h(7))

3. (g◦h)(24)

4. f(g(h(2)))

5. h(g(f(5)))

6. g(f(h(-6)))

7. f( x + 1)

8. g(3a)

9. h( x – 2)

For 10-11: Let f(x) = -3x + 7 and g(x) = 2x2 – 8. Compute the following:

10. f(g(x))

11. (g◦f)(x)

If f ( x) = 3x − 5 and g ( x) = x 2 ,

13.

If f ( x) = −9x − 9 and g ( x) =

x − 9

,

12. find ( f g )(3)

find ( f g )(10)

If f ( x) = −4x + 2 and g ( x) =

 

 

If f ( x) = −3x + 4 and g ( x) = x 2 ,

x − 8,

14.

( f g )(12)

15.

(g f )(− 2)

find

find

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

f ( x) = −9x + 3 and g ( x) = x 4 ,

If

f ( x)

= −

+

1 and

g ( x)

=

x

2

−

5,

Given

 

2x

 

 

 

 

 

 

16.

 

(

g f

)(

)

 

 

 

 

 

 

17.

find

( f g )(x)

find

 

2

 

 

 

 

 

 

 

 

 

 

 

 

Given

f ( x) = 2x − 5 and g ( x) = x + 2,

Given f ( x) = x 2 + 7 and g ( x) = x − 3,

18.

find

( f g )(x)

find ( f g )(x)

 

 

19.

 

Given

f ( x) = 4x + 3 and g ( x) = x 2 ,

Given f ( x) = x −1 and g ( x) = x 2 + 2x − 8,

20.

find

(g f )(x)

21. find (g f )(x)

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1. First of all, when filling out the composite function worksheet sample, start out with the part with the next fields:

Stage no. 1 for submitting composition of function worksheet answers

2. The third step is usually to complete the next few fields: gfx, fgx, find, and, find, x gf, and and.

Stage no. 2 in filling out composition of function worksheet answers

3. This next stage will be easy - fill in all of the fields in find, x gf, find, x fg, find, x fg, and, Given, find, xf xgf, and and to complete this part.

composition of function worksheet answers writing process clarified (portion 3)

4. The subsequent section requires your information in the subsequent areas: Given, find, xf xgf, Given, find, xf xfg, Given, find, xf x xgf, and, Given, find, xf x xfg, and and. Be sure that you provide all required details to move onward.

Writing part 4 of composition of function worksheet answers

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