Step-by-step explanation:

To solve the exercise shown in the image attached, you need to subtract the functions f(x) and g(x).

Keeping the above on mind, you have:

You must distribute the negative sign and then you must add the like terms, therefore, you obtain:

Choice c is correct.

Step-by-step explanation:

We have  given two functions:

f(x)  = (2x²+ 2)

g(x) = (x²-1)

We have to find (f-g)(x).

(f-g)(x) = ( 2x²+ 2) - ( x²-1)

(f-g)(x) = 2x² + 2 - x²+1

(f-g)(x) = x²+3 is the correct answer.

## Related Questions

What is the value of x?

8  times square root of 2 = 11.31. 11.31 / 2 = 5.655. 5.655 divided by 1.414 = 4, so x = 4
That sounds about right. I don’t know for sure though. I’m not good at math

What is 21 divided by 4

Change those messy words to numbers:
21 divided by 4

It can either be solved by using a calculator or long division
And we will end up with the answer:5.25
the answer is 5.25 ur welcome

What is the difference between the largest and smallest common factors of 88 and 99?

If you're asking, what is that common factor of 88 and 99 it would be 11.
the answer is 21 obously :D U have to put that on ur paper or its wrong.

Drew purchased 3 books each with a different price, for $24. The cost of each bookj was a multiple of 4. What could be the prices of the 3 books? ### Answers multiple of 4 is: 4,8,12,16,20,24...... pick three number that is multiple of 4 and add them up will be 24 4 + 8 + 12 = 24 the price of three books is$8, $4, and$12.

A greyhound can go from a state of resting to running at 19.44 meters per second in 1.54 seconds. What is the greyhound's average acceleration. A.
29.94 m/s

B.
29.94 m/s²

C.
12.62 m/s

D.
12.62 m/s²

The greyhound's average acceleration will be;

⇒ Acceleration = 12.62 m/s²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A greyhound can go from a state of resting to running at 19.44 meters per second in 1.54 seconds.

Now,

Since, A greyhound can go from a state of resting to running at 19.44 meters per second in 1.54 seconds.

Hence, Initial velocity = 0

Final velocity = 19.44 meter per second

And, Time = 1.54 seconds

Since, Acceleration = Change in velocity / Time

Hence, We get;

⇒ Acceleration = Change in velocity / Time

⇒ Acceleration = (19.44 - 0) / 1.64

⇒ Acceleration = 19.44 / 1.64

⇒ Acceleration = 12.62 m/s²

Thus, The greyhound's average acceleration will be;

⇒ Acceleration = 12.62 m/s²

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Use the acceleration formulae:$Final velocity (v) - Initial velocity (u) / time taken$
so it is A

In a water treatment plant, water passes through a cone-shaped filter with a height of 4 m and a diameter of 9 m. The water flows from the filter into a cylinder below it. One full cone-shaped filter fills one-fifth of the cylinder.What are the dimensions of the cylinder? Use 3.14 to approximate pi.

A.
h = 3 m; r = 3 m

B.
h = 4.23 m; r = 5 m

C.
h = 15 m; r = 6 m

D.
h = 33.75 m; r = 2 m

so volume of a cone=1/3 times (area of base) times height

area of base=circle so
1/3 times pi times radius^2 times height

height=4

height=4
aprox pi at 3.14
1/3 times (3.14 times 4.5^2) times 4=84.78
that's the volume of the cone

volume of cone=1/5 of cylinder

84.78=1/5cylinder
multiply both sdies  by 5
423.9=volume of cylinder

volume of cylinder=height times area of base
area of base=3.14 times r^2
v=h3.14r^2
423.9=3.14hr^2
divide both sdies by 3.14
135=hr^2
sincewe are not given the specific ratio of height to radius or such to thecone to the cylinder, we must use trial and error to elimninate wrongchoices

135=hr^2
let's try A

A
135=3(3^3)
135=3(9)
135=27
false
A is wrong

B
4.23=h  5=r
135=4.23 times 5^2
135=4.23 times 25
135=105.75
false
B is wrong

C
h=15 r=6
135=15 times 6^2
135=15 times 36
135=540
false
C is wrong

D
33.75=h 2=r
135=33.75 times 2^2
135=33.75 times 4
135=135

the answer is D since it fitst the dimentions

=27*3.14 (the cone's v)
so multiply 5 to the v = 135*3.14 (cylinder's v)
A:3*3*3*3.14=27*3.14 X
B:5*5*4.23*3.14=105.75*3.14 X
C:6*6*15*3.14=540*3.14 X
D:2*2*33.75*3.14=135*3.14 O