All categories

2 years ago

If f(x) = x + 8 and g(x) = –4x – 3, find (f + g)(x).

Mathematics

2 answers:

Soloha48 [4]2 years ago

6 0

Answer:

$\huge\boxed{\sf (f + g)(x) = -3x + 5}$

Step-by-step explanation:

<h3><u>Given functions:</u></h3>

f(x) = x + 8
g(x) = -4x - 3

<h3><u>Solution:</u></h3>

Add both functions

(f + g)(x) = x + 8 + (-4x - 3)

(f + g)(x) = x + 8 - 4x - 3

(f + g)(x) = x - 4x + 8 - 3

(f + g)(x) = -3x + 5

$\rule[225]{225}{2}$

Alecsey [184]2 years ago

5 0

Answer:

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= x + 8 - 4x - 3 ← collect like terms

= - 3x + 5

You might be interested in

Solve the following equation: 8 - 9x = 27.

bearhunter [10]

The given equation is

$8-9x=27$

To solve for x, we have to subtract 8 to both sides

$8-9x-9 = 27-8 \\ -9x = 19$

Now we need to get rid of -9 from the left side, and for that we do division

$\frac{-9x}{-9} = \frac{19}{-9}$

$x = - \frac{19}{9}$

4 0

3 years ago

In which interval is the median age?<br> Choose 1 answer:

kicyunya [14]

Answer:

Its C i believe correct me if im wrong

6 0

3 years ago

Read 2 more answers

Consider f(x) = 4x^3 – 5, g(x) = 2x + 5 and h(x) =2x^2+2x. Which statement about (f + g – h) is true?

Natalka [10]

$\large{\mathcal{ANSWER:}}$

b) It is a cubic function of 4 terms.

In this case p(3) = t + 2 is synonymous for p = 3 + 2. Remember p is synonymous for y. So in this equation it is p = 5.

$\underline{\boxed{\purple{\tt{©⚘MissyRiel}}}}$

Hope this helps!

3 0

3 years ago

A man walking on a railroad bridge is 2/5 of the way along the bridge when he notices a train at a distance approaching at the c

makkiz [27]

Answer:

The Man needs to run at 9 mph

Step-by-step explanation:

Let M stand for the man's speed in mph. When the man

runs toward point A, the relative speed of the train with respect

to the man is the train's speed plus the man's speed (45 + M).

When he runs toward point B, the relative speed of the train is the

train's speed minus the man's speed (45 - M).

When he runs toward the train the distance he covers is 2 units.

When he runs in the direction of the train the distance he covers

is 3 units. We can now write that the ratio of the relative speed

of the train when he is running toward point A to the relative speed

of the train when he is running toward point B, is equal to the

inverse ratio of the two distance units or

(45 + M) 3

----------- = ---

(45 - M) 2

90+2 M=135-3 M

⇒5 M = 45

⇒ M = 9 mph

The Man needs to run at 9 mph

3 0

3 years ago

Read 2 more answers

Can you please help???

marusya05 [52]

Answer:

2 or 3 I think

I gessssssssssing

5 0

3 years ago