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3 years ago

Find (f o g)(x) Consider f(x) = x + 7 and g(x) = x2 –1

Mathematics

1 answer:

natima [27]3 years ago

3 0

<h3>Answer: x^2 + 6</h3>

Work Shown:

(f o g)(x) = f(g(x))

f(x) = x + 7

f( g(x) ) = g(x) + 7 ... replace every x with g(x)

f( g(x) ) = x^2-1 + 7 .... plug in g(x) = x^2-1

f( g(x) ) = x^2 + 6

(f o g)(x) = x^2 + 6

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Matt and Tikka thought of the same number. Matt added 7 to that number and then doubled the result. He got 26. Tikka did the sam

Reptile [31]

Answer:

Step-by-step explanation:

Matt ended up with 26.

We reverse the steps he did to get the original number that both people thought of.

26 / 2 = 13

13 - 7 = 6

6 is the original number.

Tikka did the same operations but in the reverse order so...

6 X 2 = 12

12 + 7 = 19

3 0

3 years ago

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Anarel [89]

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3 years ago

Which of the following is a solution of z^5 = 1 + √3 i?

nordsb [41]

Answer:

Option 2 is right

Step-by-step explanation:

Given that

$z^5=1+\sqrt{3} i$

We can write this in polar form with modulus and radius

$|z^5|= \sqrt{1+3} =2\\tan of Angle t =\sqrt{3} \\$

Hence angle = 60 degrees and

$|z^5|= 2(cos60+isin60)$

Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360

Using Demoivre theorem we get 5th root would be

5th root of 2 multiplied by 1/5 th of 60, 420, 780,....

$z= \sqrt[5]{2} (cos12+isin12)\\z=\sqrt[5]{2} (cos84+isin84)\\\\z=\sqrt[5]{2} (cos156+isin156)\\\\z=\sqrt[5]{2} (cos228+isin228)\\\\z=\sqrt[5]{2} (cos300+isin300)\\$

Out of these only 2nd option suits our answer

Hence answer is Option 2.

8 0

3 years ago

A parachutist's speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At this speed

Darya [45]

Answer:

Speed of the parachutist is meters per second $2.083$ meter per second

Distance travelled in 2 seconds $4.167$ meter

Step-by-step explanation:

Speed of the parachutist is kilometers per hour = 180

Speed of the parachutist is meters per second $\frac{180*1000}{24*60*60} = 2.083$ meter per second

Distance travelled in 2 seconds $2.083 *2 = 4.167$ meter

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3 years ago

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Scilla [17]

To find the median you need to lay out all the answers by lowest to highest. Then, you’ll need to find the number that’s in the middle and that’s the median. However, if there’s 2 middle numbers you’ll need to add them then divide it by 2 and that’s the median.

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3 years ago

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