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atroni [7]
3 years ago
12

If ƒ(x) = 2x, then ƒ -1(x) =

Mathematics
2 answers:
barxatty [35]3 years ago
8 0

Answer:

f^{-1}(x) = \frac{x}{2}

Step-by-step explanation:

let y = 2x

Rearrange making x the subject

divide both sides by 2

\frac{y}{2} = x

changing y back into terms of x

f^{-1}(x) = \frac{x}{2}

Semenov [28]3 years ago
4 0

Answer:

f^-1(x) = x/2

Step-by-step explanation:

To find the inverse of a function, we exchange x and y and then solve for y

y =2x

Exchange x and y

x = 2y

and then solve for y

Divide by 2

x/2 =y

The inverse function

f^-1(x) = x/2

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We conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

<h3>How to get the sum of the first 8 terms?</h3>

In an arithmetic sequence, the difference between any two consecutive terms is a constant.

Here we know that:

a_1 = 3/5\\a_8 = 1/4

There are 7 times the common difference between these two values, so if d is the common difference:

a_1 + 7*d = a_8\\\\3/5 + 7*d = 1/4\\\\7*d = 1/4 - 3/5 = (5 - 12)/20 = -7/20\\\\d = -1/20

Then the sum of the first 8 terms is given by:

3/5 + (3/5 - 1/20) + (3/5 - 2/20) + ... + (3/5 - 7/20)\\\\8*(3/5) - (1/20)*(1 + 2 + 3+ 4 + 5 + 6 + 7) = 3.4 = 34/10 = 17/5

So we conclude that the sum of the first 8 terms of the arithmetic sequence is 17/5.

If you want to learn more about arithmetic sequences:

brainly.com/question/6561461

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1 year ago
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rodikova [14]

Answer:

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Step-by-step explanation:

x - y = 5

x = 5 + y

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y =  -6x + 5

y =  -6(5 + y) + 5  Substitute x with 5 + y

y = -6(5) - 6y + 5

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x = 5 + -25/7

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