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Pavel [41]
2 years ago
12

How do you find out if the inverse of a piece wise function is a function?

Mathematics
1 answer:
cricket20 [7]2 years ago
8 0

Answer:

If it is not one-to-one, it does not have an inverse.

Step-by-step explanation:

If the output has more than 1 input, it cannot possibly be a function, meaning there is no inverse for that function.

You might be interested in
, list the first five terms of each sequence.<br> f(n + 1) = −2f(n) + 8 and f(1) = 1 for n ≥ 1
svet-max [94.6K]

Answer: 1, 7, 1, 7, 1.

Step-by-step explanation:

The given function :  f(n+1)=-2f(n)+8 and  f(1) = 1 for n ≥ 1

We put value of n=1,2,3,4 , we get

For n=1  , f(2)=f(1+1)=-2f(1)+8=-1(1)+8=-1+8=7

For n=2  , f(3)=f(2+1)=-2f(2)+8=-1(7)+8=1

For n=3  , f(4)=f(3+1)=-2f(3)+8=-1(1)+8=7

For n=4  , f(5)=f(4+1)=-2f(4)+8=-1(7)+8=1

Hence, the  first five terms of the given sequence are 1, 7, 1, 7, 1.

7 0
3 years ago
How much money does he have
Andrej [43]
C $1.00

because 1/3 of 15 coins are 5 dimes

15 - 5 = 10 nickels

10 + 5 = 15 coins. 

5 dimes= .50 cents

10 nickels= . 50 cents

.50 + .50 = $1.00

$1.00 is C.

*Hope this helped :)
7 0
3 years ago
Read 2 more answers
When your classmates began their hike, they
Ede4ka [16]

Answer:

% increase = 200%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve the inequality <br><br> 6(x-3)/8≥3
vivado [14]

Answer:

x≥7

Step-by-step explanation:

6(x-3)/8≥3

Multiply each side by 8/6

8/6*6(x-3)/8≥3*8/6

(x-3)≥4

Add 3 to each side

x-3+3≥4+3

x≥7

8 0
3 years ago
A cold tablet contains the following amounts of active ingredients: acetaminophen 325 mg, chlorpheniramine maleate 2 mg, and dex
kakasveta [241]

Answer:

The number of tablets that can be prepared is 3076.

Step-by-step explanation:

The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:

325 mg + 2mg+15 mg=342 mg

The percentages of each component in the formula are:

Acetaminophen:\frac{325mg*100}{342mg}=95.03%

Chlorpheniramine maleate:\frac{2mg*100}{342mg} =0.58%

Dextromethorphan hydrobromide:\frac{15mg*100}{342mg}=4.39%

If 1 Kg=10^{6} mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:

\frac{10^{6} mg *0.58}{95.03}=6153.85 mg

Since there are 125 g = 125000 mg of chlorpheniramine maleate, there is enough of these ingredient to run the available acetaminophen out. Thus, the total amount of active ingredients that can be prepared with 1 kg of acetaminophen is:

\frac{10^{6}mg*100}{95.03}=1052307.7mg

Since each tablet weighs 342 mg, the number of tablets that can be prepared is:

\frac{1052307.7mg}{342mg}=3076.923

Which means that 3076 tablets can be prepared and a there will be a remanent of 0.923*342 mg = 315.69 mg of active ingredients.

7 0
3 years ago
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