6 increased by the sum of k and 2

[tex]g( \: f(x) \: ) = x[/tex]

And

[tex]f( \: g(x) \: ) = x[/tex]_________________________________

So :

[tex]g(x) = {f}^{ - 1}(x) [/tex]

And

[tex]f(x) = {g}^{ - 1}(x) [/tex]

_________________________________

So to find g(x) , we must find the inverse of f(x) .

Let's do it .....

[tex]f(x) = 8 {x}^{3} + 1 [/tex]

[tex]y = 8 {x}^{3} + 1 [/tex]

Subtract the sides of the equation minus 1

[tex]y - 1 = 8 {x}^{3} [/tex]

Divided the sides of the equation by 8

[tex] \frac{y - 1}{8} = {x}^{3} \\ [/tex]

From the sides of the equation, we take the radical with interval 3

[tex] \sqrt[3]{ \frac{y - 1}{8} } = x \\ [/tex]

[tex] \sqrt[3]{ \frac{1}{8}(y - 1) } = x \\ [/tex]

[tex] \frac{1}{2} \sqrt[3]{y - 1} = x \\ [/tex]

[tex] \frac{ \sqrt[3]{y - 1} }{2} = x \\ [/tex]

So ;

[tex] {f}^{ - 1}(x) = \frac{ \sqrt[3]{x - 1} }{2} \\ [/tex]

Now we find g(x) which is :

[tex]g(x) = \frac{ \sqrt[3]{x - 1} }{2} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

If f(g(x)) = x and g(f(x)) = x , than  [tex]\rm g(x) = \sqrt[3]{\dfrac{x-1}{8}}[/tex] and this can be calculated by finding the inverse of the given function f(x).

Given :

Given that f(g(x)) = x it means that:

[tex]\rm g(x) = f^{-1}(x)[/tex]

It is also given that g(f(x)) = x that means:

[tex]\rm f(x) = g^{-1}(x)[/tex]

Now, the inverse of f(x) is given by the following calculation:

[tex]\rm f(x) = 8x^3+1[/tex]

Now, replace f(x) with y in the above equation.

[tex]y = 8x^3+1[/tex]

Now, replace y with x and x with y and evaluate 'y'.

[tex]x = 8y^3 +1[/tex]

[tex]\sqrt[3]{\dfrac{x-1}{8}}=y[/tex]

Now, replace y with [tex]\rm f^{-1}(x)[/tex] in the above equation.

[tex]\rm f^{-1}(x) = \sqrt[3]{\dfrac{x-1}{8}}[/tex]

[tex]\rm f^{-1}(x) = \sqrt[3]{\dfrac{x-1}{8}} = g(x)[/tex]

For more information, refer to the link given below:

https://brainly.com/question/13715269

Answer:

X=3

Step-by-step explanation:

You'd use the distributive property and multiply everything in the parentheses by 3.

So you'd end up with 6x-12= 6  

then add 12 to both sides so you now have 6x= 18

from here you divide 6x from 18 and that equals 3

Answer:

<

Step-by-step explanation:

If you add negitives you get a negitive and a plus a positive you get positive positives are bigger than negitives  

Answer:

A,C,D

If it is wrong so sorry.

Answer A,C,D

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

7x-3(x-1)=(2x+3)

7x - 3x + 3 = 2x + 3

4x + 3 = 2x + 3

2x = 0

x = 0

yw good luck

i did the three questions then i put some math notes in the bottom right corner

Answer:

C: is correct answer

------------------------------

[tex]3 \times {10}^{5} [/tex]

Answer:

C.is the correct answer

Answer:

x = - 2, - 3

Step-by-step explanation:

Given

- 3x + 4 ≥ 9 ( subtract 4 from both sides )

- 3x ≥ 5  

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - [tex]\frac{5}{3}[/tex]

The only values of x that satisfy the inequality in the interval { - 3, 3 } are

x = - 2, x = - 3

Let's see what to do buddy...

________________________________

If 99 & 100 are in Degree

_________________________________

STEP (1)

The angles 99 and 100 are in the second quarter of the trigonometric circle.

The cosine is negative in the second quarter.

To make things easier, we can use angle conversion.

Look :

[tex]we \: know \: that \: 100 = 90 + 10[/tex]

[tex]also \: we \: know \: 99 = 90 + 9[/tex]

So :

[tex] \cos(100) = \cos(90 + 10) = \cos( \frac{\pi}{2} + 10 ) \\ [/tex]

[tex] \cos(99) = \cos(90 + 9) = \cos( \frac{\pi}{2} + 9 ) \\ [/tex]

_________________________________

STEP (2)

Well now we have to do the arc deletion.

To remove the arc, we remove π/2 from the arc.

Remember that every time we remove π/2 from the arc, the trigonometric ratio changes.

That is, if it is a sine, it becomes a cosine, and if it is a cosine, it becomes a sine.

Or if it is a tangent, it becomes a cotangent, and if it is a cotangent, it becomes a tangent.

[tex]in \: second \: quarter \: cosine \: is \: negative \\ \\ \cos( \frac{\pi}{2} + 10 ) = - \sin(10) = - 0.173 [/tex]

[tex] \cos( \frac{\pi}{2} + 9 ) = - \sin(9) = - 0.156 \\ [/tex]

_________________________________

STEP (3)

[tex] \cos(100) - \cos(99) = \\ - \sin(10) - ( - \sin(9) \: ) = \\ - 0.173 - ( - 0.156) = \\ - 0.173 + 0.156 = - 0.017 [/tex]

And we're done here.

_________________________________

If 99 & 100 are in Radian

_________________________________

STEP (1)

First we need to know how many degrees 1 radian is.

The following equation is used to convert degrees to radians or radians to degrees.

[tex] \frac{degree}{180} = \frac{radian}{\pi} \\ [/tex]

So we have :

[tex] \frac{d}{180} = \frac{1}{\pi} \\ [/tex]

Multiply the sides of the equation by 180 :

[tex]d = \frac{180}{\pi} = \frac{180}{3.14} = 57.32 \\ [/tex]

So 1 radian is approximately equal to 57 degrees.

And we have :

[tex]100 \: rad \: = 100 \times 57 = 5700 \: deg \\ \\ 99 \: rad \: = 99 \times 57 = 5601 \: deg[/tex]

_________________________________

STEP (2)

Let's move on to deletion.

Look : 5700° = 15 × 360° + 300°

and : 5601° = 15 × 360° + 201°

We know π rad = 3.14 × 57 = 180° deg

So 2π rad = 2 × 180 = 360 ° deg

Then :5700 = 15 × 2 π + 300° = 30 π + 300°

and :5601 = 15 × 2 π + 201° = 30 π + 201°

Remember that deleting 2π is unconditional.

[tex] \cos(30\pi + 300) = \cos(300) = \cos(360 - 60) = \cos(2\pi - 60) = \cos( - 60) = \\ cosine \: eat \: negative \\ \cos( - 60) = \cos(60) = \frac{1}{2} [/tex]

[tex] \cos(30\pi + 201) = \cos(201) = \\ \cos(180 + 21) = \cos(\pi + 21) = \\ - \cos(21) = - 0.933 [/tex]

[tex] \frac{1}{2} - ( - 0.933) = 0.500 + 0.933 = 1.433[/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

27

Step-by-step explanation:

substitute the given value of x: 2(4) + 3 + (4)^2

simplify: 8 + 3 + 16

add: 8 + 3 + 16 = 27

Answer:

25 x 13 = 325

Step-by-step explanation:

Answer:

B she left out a zero between the 2 and the 5

Answer:

b) She left a zero in between two and five.

The number given is 12050000, the underlined number is the number she missed while converting it into Scientific notation.

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

Perpendicular lines have opposite reciprocal slopes, so the slope of the line is -.5

Now, y=.5x+b, so you plug in the point -2,6.

6=.5(-2)+b

6=-1+b, so b=7.

The equation is y= .5x+7

Answer:

-11

Step-by-step explanation:

i got the wrong numbers

Answer:

x > -1

Step-by-step explanation:

Isolate the variable, x. Treat the > sign like an equal sign, what you do to one side, you do to the other.

Subtract 5 from both sides:

x + 5 (-5) > 4 (-5)

x > 4 - 5

x > -1

x > -1 is your answer.

~

Answer:

x > -1

Step-by-step explanation:

Step 1: Write inequality

x + 5 > 4

Step 2: Solve for x

Here we see that any value x that is greater than -1 will work.

Answer:

you will need 12 cups of bananas and  24 cups of straberries

Step-by-step explanation:

The answer is:

A

60 degrees

Answer:

[tex]\sqrt[5]{25x^{2}y^{4}z^{6} }[/tex]

Step-by-step explanation:

going to the 2/5 power is the the fifth root of a square. For fraction exponents going into radical form use the denominator as you root of and use the numerator as the exponent of the rest making sure to multiply any other exponents by that number and when there is no exponent treat it as having an exponent of one for the multiplying.  

Answer:

20

Step-by-step explanation:

-10(p+4)

-10(-6+4)

60-40

20

Answer:

y = 3/4x + 1/2

Step-by-step explanation:

We can use the formula [ y2-y1/x2-x1 ] to solve for the slope.

-4-5/-6-6

-9/-12

9/12

3/4

Find the y-intercept.

y = 3/4x + b

5 = 3/4(6) + b

5 = 4.5 + b

0.5 = b

y = 3/4x + 1/2

Best of Luck!

First of all, Let's find the slope because we need it on the formula for finding the y-intercept.

From the points given in the question,

Plugging in the above formula,

➝ m = -4 - 5 / -6 - 6

➝ m = -9 / -12

➝ m = 3/4

Now finding the y-intercept[tex]:[/tex]

➝ y = mx + b

And if we put in the values from our first point (6, 5) we get

➝ 5 = 3/4 (6) + b

➝ 5 = 9/2 + b

➝ b = 5 - 9/2

➝ b = 1/2

Required equation of the line:

➝ y = 3/4x + 1/2

Carry On Learning !

Answer:

40 percent

Step-by-step explanation:

60 plus 60 is 120 and take 20 from 60 and get 40 so 40 times 3 equals 123 so 40 percent

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

Explanation:

In any quadrilateral, the four angles always add to 360

P+Q+R+S = 360

x+5x+x+5x = 360

12x = 360

x = 360/12

x = 30

This means

P = R = x = 30

Q = S = 5x = 5*30 = 150

So, P+Q+R+S = 30+150+30+150 = 360 which helps confirm the answer.

Answer:

x = 30

Step-by-step explanation:

the sum of all angles is 360

the picture shows that the sum equals 12x

12x=360

x= 360/12

x = 30

Answer:

Equation: [tex]x=9[/tex]

Step-by-step explanation:

First graph the points on the coordinate plane, then find the x and y intersections and the slope. Since the slope is 0, and the x intersection is 9, you get [tex]x=9[/tex].

Answer:

  rational

Step-by-step explanation:

Any number that can be written with a finite number of digits is rational. The given number is rational. (It has 5 digits.)

__

Any repeating decimal is rational.

If this were -9.2222..., it would be -9 2/9 = -83/9, also a rational number.

_____

A number is irrational if it cannot be represented exactly as a decimal or repeating decimal. That is, its decimal fraction part continues forever without repeating.

Answer:

-2

Step-by-step explanation:

Sincwe perpendicular slope are the opposite reciporcal

Answer:

-2/1

Step-by-step explanation:

flip the fraction then flip the sign

Step-by-step explanation:

option A(3,4) is the answer to the question

pls mark as brainliest

Answer:

1. x=2

2. x= -4

3. x= -7

4. x = -4

Step-by-step explanation:

hope this helps :)

Answer:

the first one is x=2 the second one is x=-4 the third one is x= -7the fourth one is x=4

Step-by-step explanation:

Step-by-step explanation:

the best answer from the option is 2(2‒3)=2(2)‒2(3)

&to general knowledge we can also write like this

2(2‒3)=2(2)+2(‒3)

i hope it helps you

Answer:

2(2‒3)=2(2)‒2(3)

Step-by-step explanation: