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2 years ago

Find the inverse function for

Mathematics

1 answer:

Dmitrij [34]2 years ago

8 0

Answer:

a. ∛(x+4)/3

Step-by-step explanation:

y = 3x³ -4

step 1: x = 3y³ - 4 (swap x and y)

step 2: 3y³ = x + 4

y³ = (x + 4) / 3

y = ∛(x+4)/3 (solve y)

f⁻¹(x) = ∛(x+4)/3 (inverse notation)

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What is the product?

fredd [130]

Answer:

$\frac{4k + 2}{k^{2}-4 }$ × $\frac{k-2}{2k+1}$ = $\frac{2}{k + 2}$

Step-by-step explanation:

$\frac{4k + 2}{k^{2}-4 }$ × $\frac{k-2}{2k+1}$

To solve the above, we need to follow the steps below;

4k+2 can be factorize, so that;

4k +2 = 2 (2k + 1)

k² - 4 can also be be expanded, so that;

k² - 4 = (k-2)(k+2)

Lets replace 4k +2 by 2 (2k + 1)

and

k² - 4 by (k-2)(k+2) in the expression given

$\frac{4k + 2}{k^{2}-4 }$ × $\frac{k-2}{2k+1}$

$\frac{2(2k+ 1)}{(k-2)(k+2)}$ × $\frac{k-2}{2k+1}$

(2k+1) at the numerator will cancel-out (2k+1) at the denominator, also (k-2) at the numerator will cancel-out (k-2) at the denominator,

So our expression becomes;

$\frac{2}{k + 2}$

Therefore, $\frac{4k + 2}{k^{2}-4 }$ × $\frac{k-2}{2k+1}$ = $\frac{2}{k + 2}$

3 0

3 years ago

Read 2 more answers

A car factory had an inventory of 327 car radios in stock. Then the company installed a radio in each of 243 cars and delivered

zepelin [54]

Answer:

Equation: 243+x=327

Answer to the equation: x=84

Step-by-step explanation:

First, subtract 243 from both sides of the equation, which would leave you with x=84, which is your answer.

I hope this helps! :)

8 0

2 years ago

MATH ............................................

Aneli [31]

It must be true that a implies c, because of the transitive property.

If a is true, then b is true as well. But every time b is true, c is true as well.

So, "jumping" over b, we have that if a is true, c is true as well.

Think of this example:

a: I live in Rome
b: I live in Italy
c: I live in Europe

It is true that $a\implies b$ , because Rome is inside Italy, and similarly $b\implies c$ , because Italy is a European state.

So, if I live in Rome, I must live in Europe as well.

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3 years ago

uppose that we have a function with a constant amount of work done in initialization, a call to a log-linearsorting algorithm, a

White raven [17]

Answer:

The running time is quadratic (O(n²) )

Step-by-step explanation:

For the set up, we have a constant running time of C. The, a log-linearsorting is called, thus, its execution time, denoted by T(n), is O(n*log(n)). Then, we call n times a linear iteration, with a running time of an+b, for certain constants a and b, thus, the running time of the algorithm is

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Since T(n) is O(n*log(n)) and n² is asymptotically bigger than n*log(n), then the running time of the algorith is quadratic, therefore, it is O(n²).

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2 years ago

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