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Julli [10]
3 years ago
8

If f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function ​

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

If f(X)= 7x +5/3 - x =6x +5/3

y= 6x +5/3

6x= y-5/3

f^-1(y)=x=(y-5/3)/6

So we can write

f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y

The same result can be obtained for f^-1(f(x))=x

If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)

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3 years ago
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Ede4ka [16]
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7 0
4 years ago
Calculate the total amount and compound interest on RS 8,000 for a year at the rate of 9% per annum compounded half yearly.
Gennadij [26K]

Answer:

See below in bold.

Step-by-step explanation:

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8 0
4 years ago
For an experiment comparing two treatment conditions, an independent-measures design would obtain ____ score(s) for each subject
mrs_skeptik [129]

The score(s) that will be obtained respectively in an independent-measures design and repeated-measures design are; 1 and 2

<h3>How to interpret Experiments?</h3>

There are different ways to carry out an experiment in mathematics. This is because there are various means of research and also ways to interpret the results.

Now, when comparing two treatment conditions, an independent-measures design would always obtain 1 score for each subject. However, when a repeated-measures design is carried out on the same sample, it will obtain 2 scores.

Read more about Experiments at;  brainly.com/question/25677592

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5 0
2 years ago
Matt decides the length of his table will be 15 in. He calculates that the area of the table is 30 in. squared. Determine if Mat
Allushta [10]

Answer:No Matt's calculation is not correct.

Step-by-step explanation:

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so you can say that:

Matt is incorrect because He skipped  the step of multiplying 2 by 2 in the formula which is where we get 4 from.

8 0
3 years ago
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