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3 years ago

F(x) = x2 + 1 g(x) = 5-x (f+g)(x) = O x2 + x-4 x²+x+4 O x2-x+6 O x2 + x + 6

Mathematics

1 answer:

charle [14.2K]3 years ago

5 0

Answer:

$\boxed{(f + g)(x) = {x}^{2} - x + 6}$

Given:

$f(x) = {x}^{2} + 1 \\ \\ g(x) = 5 - x$

To Find:

$(f + g)(x) = f(x) + g(x)$

Step-by-step explanation:

$= > f(x) + g(x) = ({x}^{2} + 1) + (5 - x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 1 + 5 - x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 6 - x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} - x + 6$

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The sum of 3 consecutive integers is 47 more than the first integer. Find the three integers.

ss7ja [257]

Answer:

22,23,24

Step-by-step explanation:

Well, you need to first find two consecutive integers that add up to 47, because that is the difference between the first digit and the total. This happens to be 23 and 24. Once you get these two numbers, the 22 comes intuitively, as you have to add 23 and 24 to get a difference between 22 and (22+23+24).

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3 years ago

A large bin of mixed nuts contains peanuts, cashews, almonds, and walnuts. Sheila scoops out a bowl full of nuts and counts how

Zanzabum

Assuming that the ratios stay the same, the answer is going to be 6 because the total number of nuts drawn originally was 48, and 9 were cashews. To maintain this ratio when 32 nuts were drawn, the number of cashews will be 6.

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3 years ago

When a survey was conducted among 100 students to find their favorite pizza topping, 45 students voted for pepperoni, 25 for mus

amm1812

Answer:

The central angle for the cheese sector would be 108 degrees.

Step-by-step explanation:

We know that a pi chart takes the form of a circle so the total angle measure is 360 degrees.

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4 0

3 years ago

Brent sells an avarage of 52 pot holders each week. about how many pot holders does he sell in 58 weeks.

Inessa [10]

The amount of pot holders Brent sold for 58 weeks is 3016

<h3>How to find the amount of pot holders Brent sold?</h3>

He sells 52 pot holders each week.

This means for every week, he sold 52 pot holders. Therefore, the amount of pot holders he sold for 58 weeks can be solved as follows:

1 week = 52 pot holders

58 weeks = ?

cross multiply

number of pot sold for 58 weeks = 58 × 52

number of pot sold for 58 weeks = 3016

learn more on sells here:brainly.com/question/17562675

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6 0

2 years ago

For the functions f(x) = x^2+ 8x + 2 and g(x) = -5+9, find (f•g)(x)and (f.g)(-1).

Ne4ueva [31]

Answer: (f·g)(x) = -5x³ - 31x² + 62x + 18

(f·g)(-1) = -70

(fog)(x) = 25x² - 130x + 155

(fog)(-1) = 310

<u>Step-by-step explanation:</u>

f(x) = x² + 8x + 2 g(x) = -5x + 9

(f·g)(x) = (x² + 8x + 2)(-5x + 9)

= -5x³ + 9x²

- 40x² + 72x

= -5x³ - 31x² + 62x + 18

(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18

= -5(-1) - 31(1) - 62 + 18

= 5 - 31 - 62 + 18

= -70

****************************************************************************************

(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2

= 25x² - 90x + 81

- 40x + 72

= 25x² - 130x + 155

(fog)(-1) = 25(-1)² - 130(-1) + 155

= 25 + 130 + 155

= 310

<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>

6 0

3 years ago