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P5.7: Func Ops and Comps

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Last updated almost 4 years ago
11 questions
Note from the author:
Watch this video (and the others in the sidebar) for review on adding, subtracting, multiplying, and dividing functions.

Watch this video (and the others in the sidebar) for review on the composition of functions (f \circ g).
Watch this video (and the others in the sidebar) for review on adding, subtracting, multiplying, and dividing functions.

Watch this video (and the others in the sidebar) for review on the composition of functions (f \circ g).
For ALL problems:

f(x) = 2x2 -9x +2

g(x) = 1 - 6x

h(x) = x2 -4
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Question 1
1.

What is (f-g)(x)?

Your answer should be a trinomial, no spaces.

Question 2
2.

What is (\frac{f}{h})(x)?

Your answer should be in fraction form, no spaces.

Question 3
3.

The domain of (\frac{f}{h})(x) is all real numbers except what two numbers?

Write your answers in increasing order, separated by a comma and a space. There should only be one space in your answer.

Question 4
4.

What is (g+f)(x)?

Your answer should be a trinomial, no spaces.

Question 5
5.

What is (f\cdoth)(x)?

Your answer should be a 5-term polynomial, no spaces.

Question 6
6.

What is (\frac{h}{g})(x)?

Your answer should be in fraction form, no spaces.

Question 7
7.

The domain of (\frac{h}{g}
)(x) is all real numbers except what number?

Write your answer as a simplified rational number, no spaces.

Question 8
8.

What is (f\circg)(x)?

Your answer should be a trinomial, no spaces.

Question 9
9.

What is (h\circf)(x)?

Your answer should be a 4-term polynomial, no spaces.

Question 10
10.

What is the value of (h-g)(-7)?

Your answer should be an integer, no spaces.

Question 11
11.

What is the value of (f\circh)(2)?

Your answer should be an integer, no spaces.