F and H are sets of real numbers defined as follows. F={y|y21} H= {y |y>7} Write FUH and FnHusing interval notation. If the set is empty, write Ø. (0,0) [0,0) (0,0) FUH = [0,0) DUO FnH =0 00 -00 8.

Q: 3. State the domain and range for the following use interval notation where appropriate: 3 -2 ņ 5 0…

A: Domain: [1,5) Range: [1,4]

Q: Which of the following shows a horizontal translation of the function y :3|피 + 87 %3D O y=-3지 + 8 O…

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Q: (d) Operator -iħd/dx and function exp(-ikx). (e) Operator -ħ?d?/dx² and function exp(-ikx).

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Q: Let A= (1,3] and B= (2,6] this is interval notation find the following a. A U B b.A n B c. B-A d. A…

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Q: Use the given graph of f to to find if f even, odd, or neither. Where applicable, use interval…

A: Given: The Graph of f. To Find: The function is even,  odd or neither.

Q: Let f {(0,-3),(9,4),(-6,9)} and h={(-6,4),(-3,9)}. Find fo h. foh= (Use a comma to separate ordered…

A: The given functions  and .The objective is to find the composition function .

Q: Let A {a, b, c, d, e} and B = {1, 2, 3}. a. Find the number of 1-1 functions from A to A b. Find the…

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Q: Complete the following tables, and give the rule for the function y= Ca*. а.) -1 1 2 4 Ca 1/2 32 y=…

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Q: Let A = {x, y} and B = {1,2}. Write down each function in the set BA. 3.

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Q: Write the following function in the form a + ib

A: Answer

Q: In each number: i. determine the domain and range ii. determine if the equation is a function or a…

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.