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Elza [17]
3 years ago
5

F(x)= 9-x^2, x ≥ 0. f^-1(x)=??

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0
y=9-x^{2},\ x\ge0

Reverse x and y:
x=9-y^{2},\ y\ge0
Solve for y:
x=9-y^{2}
\rightarrow y^{2}=9-x
\rightarrow y=\sqrt{9-x} since y\ge0
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Consider an experiment with sample space S 5 50, 1, 2, 3, 4, 5, 6, 7, 8, 96 and the events A 5 {0, 2, 4, 6, 8} B 5 {1, 3, 5, 7,
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Answer with Step-by-step explanation:

S={0,1,2,3,4,5,6,7,8,9}

A={0,2,4,6,8}

B={1,3,5,7,9}

C={0,1,2,3,4}

D={5,6,7,8,9}

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A'={0,1,2,3,4,5,6,7,8,9}-{0,2,4,6,8}

A'={1,3,5,7,9}

b.C'=S-C

C'={0,1,2,3,4,5,6,7,8,9}-{0,1,2,3,4}

C'={5,6,7,8,9}

c.D'=S-D

D'={0,1,2,3,4,5,6,7,8,9}-{5,6,7,8,9}

D'={0,1,2,3,4}

d.A\cup B={0,2,4,6,8}\cup{1,3,5,7,9}

A\cup B={0,1,2,3,4,5,6,7,8,9}=S

e.A\cup C={0,2,4,6,8}\cup{0,1,2,3,4}

A\cup C={0,1,2,3,4,6,8}

f.A\cup D={0,2,4,6,8}\cup{5,6,7,8,9}

A\cup D={0,2,4,5,6,7,8,9}

8 0
3 years ago
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goldfiish [28.3K]

Answer:

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subtract 10 from each side

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divide by -3  (remember to flip the inequality)

-2/-3 >= -3x/-3

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