All categories

3 years ago

Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x).

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

4 0

Answer:

Step-by-step explanation:

We are given the two functions:

$f(x)=4x+5\text{ and } g(x)=x^2-2x-2$

And we want to find:

$(f+g)(x)$

This is equivalent to:

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

Substitute:

$=(4x+5)+(x^2-2x-2)$

Rearrange:

$=(x^2)+(4x-2x)+(5-2)$

Combine like terms. Hence:

$(f+g)(x)=x^2+2x+3$

Our answer is A.

You might be interested in

The product of -3x and (2x+5) is …

PolarNik [594]

$\huge{\boxed{\boxed{ Solution ⎇}}} \$

$- 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x$

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

5 0

2 years ago

Read 2 more answers

A biologist tracked the growth of a strain of bacteria, as shown in the graph.

ozzi

Answer:

Part A -> Function

Part B -> Function

Step-by-step explanation:

Concept

A relationship is a function only if there's a single y value corresponding to an x value. It can have the same y value for different x values but it must not have multiply y values for a single x value.

Below is an example

Function Not a Function

x y x y

1 5 1 5

2 6 2 7

3 5 1 6

Part A

Looking at the given graph, we see that the relationship has a single y value corresponding to an x value and so it is a function.

Part B

If there was the same number of bacteria for two consecutive hours it would mean the same y value for different x values. So, it would still remain a function.

7 0

3 years ago

Look at pic for question and answer choices.

Doss [256]

The answer would b the 3rd option

7 0

2 years ago

Use a number line to show diffrent ways to count from $580 to $944

Vlada [557]

You could use a number line and count by 1's or 100's then count by 1's. There are many ways you to count from $580 to $944.

6 0

3 years ago

I NEED TO HAND IN NOW!!!

umka21 [38]

Step-by-step explanation:

total no. of pupils is not more than 24

therefore first equation is

(x+y) ≤ 24. ....(1)

No. of girls exceeding the no. of boys by atleast 4

(y-x) ≥ 4. .....(2)

b) Now Liza chooses 8 boys

Maximum no. of girls = ?

Using first inequality

y+8= 24 ( maximum value of less than or equal to function is equal to itself)

Therefore,

y= 24-8

=16

Minimum no. of girls = ?

Using second inequality

y-8 =4 (minimum value of greater than or equal to function is equal to itself)

Therefore,

y= 4+8

y=12

Answer:

a) 2linear inequalities

(x+y) ≤ 24

(y-x) ≥ 4

b) Max no. of girls = 16

Min no. of girls = 12

Hope it helps...

5 0

3 years ago