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Karolina [17]
3 years ago
7

F(x) = |2x + 1| + 3

Mathematics
1 answer:
worty [1.4K]3 years ago
8 0

Answer:

(f + g)(x) = I2x + 1I + 1 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ f(x) = I2x + 1I + 3

∵ g(x) = -2

→ We need to find (f + g)(x), which means add the two functions

∵ (f + g)(x) = f(x) + g(x)

→ Substitute the right side of each function on the right side

∴ (f + g)(x) = I2x + 1I + 3 + (-2)

→ Remember (+)(-) = (-)

∴ (f + g)(x) = I2x + 1I + 3 - 2

→ Add the like terms in the right side

∵ (f + g)(x) = I2x + 1I + (3 - 2)

∴ (f + g)(x) = I2x + 1I + 1

You might be interested in
F(x) = x2 + 1 g(x) = 5 – x (f – g)(x) =
Blizzard [7]

Answer:

x^2+x-4

Step-by-step explanation:

(f-g)=(x^2+1)-(5-x)

     =x^2+1-5+x

     =x^2+x-4

4 0
3 years ago
Given: r is inversely proportional to s. If r = 16 when s = 3, then write the formula for the relation between r and s.
riadik2000 [5.3K]

Answer:

B

Step-by-step explanation:

Given that r is inversely proportional to s then the equation relating them is

r = \frac{k}{s} ← k is the constant of proportion

To find k use the condition r = 16 when s = 3

k = rs = 16 × 3 = 48

r = \frac{48}{s} ← equation of variation → B

3 0
2 years ago
4x-5=7+4y<br> How do you solve?
solong [7]
 solve for x.

4x−5=7+4y

Add 5 to both sides.

4x−5+5=4y+7+5

4x=4y+12

Divide both sides by 4.

4x/4=4y+12/4

x=y+3

-----------------------------------------------------
Have a nice day! :)

5 0
3 years ago
For the function given, state the middle line; f(t) = 40cos (80t + 20)
Digiron [165]

In the standard form of the equation

\\ \ f(t)=Acos[b(t\pm c)]+k\\ \\

The middle line =k

For our given problem

f(t) = 40cos (80t + 20)

On comparison we get k=0

Hence middle line=0

8 0
3 years ago
How did the world's countries solve the problem that mean solar time varies continuously as a traveler's longitude changes
inn [45]

To solve the problem related to mean solar time where it varies continuously as a traveler's longitude changes, scientists divided the earth into 24 time zones (adding other partial zones to it). All the countries in each time zones had to keep the mean standard time assigned to it.

<h3>What is Mean Standard Time?</h3>

This is the time that is measured by synchronizing clocks in different geographical locations within the same time zone to the same time.

See the link below for more about Mean Solar Time:

brainly.com/question/26063957


8 0
2 years ago
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