f(x) = x² , g(x) = x+1 find gof (2) , fog (2)​

Answers

Answer 1

Answer:

Explanation:

Hey there!

Here;

f(X) = x²

and g(X) = X+1

To find: gof (2) and fog (2)

For gof (2),

gof = g{f(X)}

= g (x²)

= +1

Then;

gof(2) = 2²+1

= 4+1

= 5

Therefore, gof (2) is 5.

For fog(2),

fog (X) = f{g(X)}

= f(X+1)

= (x+1)²

= x²+2x+1

= +2x +1

Then;

fog(2) = 2²+2*2+1

= 4+4+1

= 9

Therefore, fog(2) = 9.

Hope it helps!


Related Questions

Somebody help i need to find the value of x and classify the sides and angles

Answers

Answer:

a) x=18

b) 36 (2*18)

c) 54 (3*18)

d) I'm not exactly sure what it's asking for, so I don't know

Step-by-step explanation:

triangle sum theorem means the sum of every triangle is 180 degrees

so we can make this equation: 180 = 90 + 2x + 3x

solve and you get 18.

Someone pls help me pls!

Answers

Answer:

[tex]y=\sqrt{x-5}[/tex]

Step-by-step explanation:

Answer:

The answer is [tex]y=\sqrt{x-5}[/tex].

Step-by-step explanation:

To solve for the inverse of this function, start by writing [tex]f(x)=x^{2} +5[/tex] as an equation, which will look like [tex]y=x^{2} +5[/tex].

Next, interchange the variables, and the equation will look like [tex]x=y^{2}+5[/tex]. Then, solve for the y in the equation,

To solve for the y in the equation, rewrite the equation as [tex]y^{2}+5=x[/tex]. Next, subtract 5 from both sides of the equation, which will look like [tex]y^{2}=x-5[/tex]. The next step is to take the square root of both sides of the equation to eliminate the exponent on the left side, and the equation will look like [tex]y=\sqrt{x-5}[/tex].

To put the answer in actual inverse form, the answer will be [tex]f^{-1} (x)=\sqrt{x-5}[/tex].  

Write a function to describe the following scenario.

The temperature of a hot steak starts at 140° F and decreases at 5° F per minute. What will the temperature be of this steak after a certain number of minutes?

y= ? - ?x

Answers

Answer:

Below.

Step-by-step explanation:

Temperature after 1 minute = 140 - 5(1)

Temperature after 2 minutes = 140 - 5(2)

Temperature after 3 minutes = 140 - 5(3),

- and so on.

So the function is

y = 140 - 5x.

The temperature of the steak after a certain number of minutes can be described as the function

y = 140 - 5x

What is a linear equation?

A linear equation with one variable has the standard form Cx + D = 0. In this case, the variable is x and C are coefficient, while D is a constant.

How to solve this problem?

Let the certain number of minute is x.

Since the temperature decreases at 5° F per minute, then after x minutes, it will decrease 5x.

Initial temperature = 140° F

Then the present temperature, y = 140 - 5x.

Therefore, the temperature of the steak after a certain number of minutes can be described as the function

y = 140 - 5x

Learn more about temperature here -

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Help With the answer Please
??????

Answers

Answer:

not sure

Step-by-step explanation:

Answer:

b) FIGURE A AND FIGURE B

Step-by-step explanation:

figure c has

all the sides equal so its not a rectangle

Please help me with this. Ill give you a brainliest.

Answers

Answer:

7. Circumcenter is (5,8)

8. Circumcenter= (-4,-5)

9. Circumcenter= (-4,9)

10. Circumcenter= (5.5, -5.5)

Find the value of x in The parallelogram.

Answers

Answer:

48 degrees

Step-by-step explanation:

x+132 should be equal to 180, property of a parallelogram (and same side interior angles)

180-132=48

Answer:

x = 48

Step-by-step explanation:

Consecutive angles in a parallelogram sum to 180° , so

x + 132 = 180 ( subtract 132 from both sides )

x = 48

formula for surface area of triangular prism

Answers

Answer:

A = bh + L(s1 + s2 + s3)

Step-by-step explanation:

The formula for finding surface area of triangular prism is A = bh + L(s1 + s2 + s3).

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height

Solve for x in the triangle round your answer to the nearest tenth
Pls help ASAP!!

Answers

Answer:

x = 3.9

Step-by-step explanation:

cos = adj/hyp

cos67 = x/ 10

x = 10 * cos67

use calculator

x = 3.9

A circle with the centre (0,0) has an equation of x2 + y2 = 169
a. What is the radius?

Answers

165 is the radius because 169-169 is 0
Your answer is going to be 0

Substitute w = 4 into the following expression
10 – 4w​

Answers

Answer:

-6

Step-by-step explanation:

Substitute as in replace "w" with 4

10-4(4)

Multiply -4 and 4

-16

10-16=-6

Hope this helps

Answer:

-6 it wouldnt let me post this without having 20 letters in my answer

Step-by-step explanation:

10 - 4*4 = -6.

Write down the complementary base strand for this DNA molecule. (no spaces, all capital)

ATCGCACGT

Answers

The answer is UAGCGUGCA I think

Scarlett can bake 10 cookies with each scoop of flour. Write an equation that shows the relationship between the scoops of flour x and the cookies y. Write your answer as an equation with y first, followed by an equals sign.

Answers

y = 10x

Where y is equal to the amount of cookies and x is the scoops of flour.

The base of triangle M is four times the base of tri-
angle N, while the height of triangle N is half the
height of triangle M. The area of triangle M is how
many times that of triangle N ?

Answers

Answer:

two times

Step-by-step explanation:

ΔM:  let 'h' = height; let '4b' = base

ΔN:  let 'h/2' = height; let 'b' = base

Area (ΔM) = 2bh

Area (ΔN) = bh

There is a special offer at the book shop.
Ryan chooses 4 books that cost
£4.00
£3.80
£3.00
and £1.20
Special
offer
4 for the
price of 3.
Buy any 4 books and get
the cheapest one completely free!
What fraction of the normal total price does he save?
Choose the correct calculation.
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£1.20
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£4.00 + £3.80 + £3.00
x (£4.00 + £3.80 + £3.00 + £1.20)

Answers

price of 3Step-by-step explanation:

Which line is parallel with y = -3x + 10

Answers

Answer:

If a line is parallel with Another...

They will have the same Gradient or equal Gradient (m)

So for two parallel lines

m=m'

So the gradient of the second or other line would be Same

Now

y= -3x + 10

comparing with

y= mx + c

m = -3

So the other line would have the same gradient.

from the options provided in the comment section...

y= -3x + 12

Is your Most probable answer cos it has the same gradient

Can someone really help
Me !

Answers

y=11. you do what’s in the parentheses first then multiply it by three. so take 45 divided by three and you get 15 and solve for Y

Please Help I'll give brainliest

Answers

Answer:

259.8

Step-by-step explanation:

259.8. Is the answer

2,6, 18, 54,162
The common ratio ""is3
Is this right?

Answers

Answer:

yes it is

Step-by-step explanation:

What is the solution to this equation? X/4 =-12
A. x = 48
B. X= -3
C. x = -48
D. X= 3

Answers

Answer:

C. x=-48

Step-by-step explanation:

x/4=-12

multiply both sides by 4

4x/4=4 (-12)

simplify

x=-48

Two radar stations 2.5 miles apart are tracking an airplane. the straight-line distance between Station A and the plane is 7 miles. the straight-line distance between station B and the plan is 9 miles. What is the angle of elevation from Station B to the plane?

Answers

Answer: Hi the answer would be 32 Degrees

Step-by-step explanation:

The answer to this question is 32 degrees

How do you solve this equation ? 25 − 3 x = 40

Answers

Answer:

x = -5

Step-by-step explanation:

25 - 3x = 40

3x = -15

x = - 5

Answer:

x = -5

Step-by-step explanation:

25 − 3x = 40

-3x = 15

x = -5

The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.

From the given scenario, we can conclude that events A and B are

Answers

Answer:

dependent events since P(A and B) is not equal to P(A) * P(B)

Step-by-step explanation:

According to the Question,

Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.

Thus, The events A, B and A∩B are:

A - Jane will go to a ballgame on Monday;

B - Kate will go to a ballgame on Monday;

A∩B - Kate and Jane both go to the ballgame on Monday.

P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52

So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)

Answer:

From the given scenario, we can conclude that events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)

Step-by-step explanation:

Correct answer for plato users

What is the number of solutions of 4x2 + 12x + 9 = 0?
Α. 1
B. 2
C. 0
D.
no real solution

Answers

Answer:

A

Step-by-step explanation:

2.1 Factoring 4x2+12x+9 The first term is, 4x2 its coefficient is 4 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +9 Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36 Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .

Given that (in picture)...

Find the values of a and b

Please help- confused on rationalising denominator but not sure

Answers

Answer:  a = -3 and b = 5

=================================================

Work Shown:

Multiply top and bottom by [tex]\sqrt{2}[/tex] to rationalize the denominator

[tex]\frac{10-\sqrt{18}}{\sqrt{2}}\\\\\frac{\sqrt{2}(10-\sqrt{18})}{\sqrt{2}*\sqrt{2}}\\\\\frac{\sqrt{2}*10-\sqrt{2}*\sqrt{18}}{\sqrt{2*2}}\\\\\frac{\sqrt{2}*10-\sqrt{2*18}}{\sqrt{4}}\\\\\frac{10\sqrt{2}-\sqrt{36}}{2}\\\\\frac{10\sqrt{2}-6}{2}\\\\\frac{-6+10\sqrt{2}}{2}\\\\\frac{2(-3+5\sqrt{2})}{2}\\\\-3+5\sqrt{2}\\\\[/tex]

We end up with something in the form [tex]a+b\sqrt{2}[/tex] where a = -3 and b = 5

Simplify 6(x + 3).

6x + 3
x + 18
6x + 18
6x + 9

Answers

Answer:

the answer of this question is = 6x + 18

if two line segments have the same lengh, which of the following must be true
A. they are congruent
B. they share an endpiont
C. They are equal
D. They form a right angel

Answers

A. They are congruent

Hope this helps! :)

A 9 year old boy has $12 saved.
He decides to start saving on a regular basis because he selss aluminum
cans
He figures out that he can save $2.50 per day.
What is the total amount he will have saved after 1 day?
2 days?
3 days?
17days?
X days?
Organize the information however you think is best and find out the totals.
Do...
g
in

Answers

Answer:

.............................

If P = (-3,5), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [
[]
Enter the number that belongs in
the green box

Answers

Answer:

(-5 , -3)

Step-by-step explanation:

use formula of 90 degree counterclockwise rotation about the origin

formula:

(x , y) = (-y , x)

(-3 , 5) = (-5 , -3)

The required coordinate of the point after 90° clockwise rotation is (-5, -3).

What does it mean by rotation?

A shape or item is rotated when it is spun around a certain point (center) without being moved in any other way. Size and shape are unaffected by rotation.

The given coordinate of the point is (-5, -3).

Counterclockwise rotation about the origin is given as,

(x , y) = (-y , x)

(-3, 5) = (-5 , -3)

Thus, the required coordinate of the point after 90° clockwise rotation is (-5, -3).

Learn more about rotation here:
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Y’all help meeee imma fail fr!!.!.

Answers

Answer:

Altitude of cylinder = 10 cm

Step-by-step explanation:

Given:

lateral surface area of cylinder = 90 cm²

Circumference of base = 9 cm

Find:

Altitude of cylinder

Computation:

Circumference of base = Circumference of cylinder

So,

2πr = 9

lateral surface area of cylinder = 2πrh

2πrh = 90

We know that; 2πr = 9

So,

9(h) = 90

h = 90 / 9

Altitude of cylinder = 10 cm

A line's y-intercept is 1, and its slope is -5. What is its equation in
slope-intercept form?
help please

Answers

y=-5x+1

Slope intercept form is y=mx+b

m is slope and b is the y-intercept
y= -5x+1
As general equation of y-intercept is y=mx +b

Hope it helps!
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