Mathematics High School

f(x) = 3^x-9. find the inverse of f(x). ASAP I NEED HELP LAST QUESTION AND 15 MINS LEFT

Answers

Answer 1

Answer:

Step-by-step explanation:

Given :

f(x) = ³√[ x - 9 ]

And we need to find the inverse of the given function. We can do it by Firstly Interchanging x and y.

So that ,

[tex]:\implies[/tex] f(x) = y

[tex]:\implies[/tex] y = ³√[ x - 9 ]

[tex]:\implies[/tex] x = ³√[ y - 9 ]

[tex]:\implies[/tex] x³ = y - 9

[tex]:\implies[/tex] y = x³ + 9

[tex]:\implies[/tex] f-¹(x) = x³ + 9

Hence option A is correct .

Related Questions

Jose has 200 baseball cards. He has the Topps brand which he paid $1.50 each, Upper Deck Company brand which he paid $5.75 each, and Panini Group brand which he paid $2.60 each. He has 20 fewer Upper Deck Company brand than Panini Group brand. The total amount he spent was $589.50. How many of each brand of baseball cards does he have?

Answers

Answer:

Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.

Step-by-step explanation:

Given that Jose has 200 baseball cards, and he has the Topps brand which I have paid $ 1.50 each, Upper Deck Company brand which I have paid $ 5.75 each, and Panini Group brand which I have paid $ 2.60 each, and he has 20 fewer Upper Deck Company brand than Panini Group brand, and the total amount he spent was $ 589.50, to determine how many of each brand of baseball cards does he have, the following calculation must be performed:

100 Panini + 80 Upper Deck + 20 Topps = X

100 x 2.6 + 80 x 5.75 + 20 x 20 x 1.5 = X

260 + 460 + 30 = X

X = 750

80 Panini + 60 Upper Deck + 60 Topps = X

80 x 2.6 + 60 x 5.75 + 60 x 1.5 = X

208 + 345 + 90 = X

X = 643

60 Panini + 40 Upper Deck + 100 Topps = X

60 x 2.6 + 40 x 5.75 + 100 x 1.5 = X

156 + 230 + 150 = X

X = 536

70 Panini + 50 Upper Deck + 80 Topps = X

70 x 2.6 + 50 x 5.75 + 80 x 1.5 = X

182 + 287.5 + 120 = X

X = 589.5

Therefore, Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.

How do you solve 12*0.2^8=x ?

Answers

Answer:

[tex]x = 3.072 * 10^{-5}[/tex]

Step-by-step explanation:

[tex]x = 12*0.2^8[/tex]

[tex]x = 12 * 2.56E-6 = 0.00000256[/tex]

[tex]x = 3.072E-5 = 0.00003072[/tex]

х
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The table shows a proportional relationship between x and y. Which is k, the constant
of proportionality, such that y = kx?
у. x
0 0
3. 5
6. 10
9 15
12 20

Answers

Answer:C 3/5

Step-by-step explanation: the answer is not as seen on everyone’s lesson but I did the math

Need help with school

Answers

Answer:

This is a test, please refer to the Academic Integrity and Honor Code

Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3

Answers

Answer:

Step-by-step explanation:

n ≥ - 1

The inequality states that n is greater than or equal to - 1

To show the equal part on the number line the point at - 1 must be a solid circle, not an open one

No, the given number line does not represent the number line shown by Charles.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,

The inequality is given by Charles,
n ≥ -1

But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.

Thus, the given number line does not represent the number line shown by Charles.

Learn more about number line here:

brainly.com/question/17683084

#SPJ2

help me please this is super hard for me

Answers

Answer:

Step-by-step explanation:

Answer:

Answer is D I believe

Step-by-step explanation:

shows all of the possible outcomes

Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?

Answers

Kim’s is faster because she plants 12 flowers per hour while Bens plants 11 flowers per hour

What is the LCM of 4 and 8

Answers

Answer:

Step-by-step explanation:

Let me make a table for you.

4,8,

8 would be your answer.

Let me know if i can help you more!

What is the equation of the following line? Be sure to scroll down first to see
all answer options

Answers

The equation of this line is C; it is y=-4x due to the fact that the rise over run is 8/-2. It is -2 as you are shifting to the left to get to (0,0). It is divisible into an equal number which is -4.

Answer:

y= -4x

Step-by-step explanation:

Which one is an example of an expression?

Answers

Answer:

Step-by-step explanation:

5x+5

Answer:

the first option will the correct answer

What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%

Answers

This gives no information, how many of each were sold

Answer:

im going to say c 55%

Step-by-step explanation: please let me know if its wrong so i can fix it thanks

Solve for the value of a in the triangle below. Round your answer to the nearest tenth

Answers

Answer:

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

What is Kim's monthly payments for a 5 year $21,000 car loan with an interest rate of
3.95%?

Answers

Answer:lol

Step-by-step explanation: get trolled

Answer:

519,750

Step-by-step explanation:

I think that's the answer, if it's wrong please let me know

A company is thinking about offering employee wellness classes during operational hours to boost production. They want to perform an experiment to see if employees attending these classes improve their quality of work. What is the best way to randomly choose a group of employees to attend these classes?

Answers

Answer:

Use a computer software program that will pick employees randomly from a list.

Answer:

Use a computer software program that will pick employees randomly from a list

Step-by-step explanation

i took the test :)

Can someone help me with this? Right answer gets brainliest!! :)

Answers

Answer:

(10 + s) / 4 =

Step-by-step explanation:

Answer:

(10+s)/4

Step-by-step explanation:

So first, you have to add 10+s. You have to put this in parentheses, since you have to divide 4 by the "result", which would be 10+s. So, the correct answer is (10+s)/4.

Hope this helped!!!! :D

Divide using a common factor of 5 to find an equivalent fraction for ten tenths
one fifth
two fifths
five-tenths
two halves

Answers

Answer:

the correct answer is two halves

Step-by-step explanation:

10/10 divided by 5 is 2/2

Write an equivalent expression d+d+d+e+e+e?
please help

Answers

Without context, d^3 + e^3 is equal to the equation you just showed.

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Answers

Answer:

x=48

Step-by-step explanation:

If 64x=82, what is the value of x?
Round your answer to three places.

Answers

Answer:

1.28

Step-by-step explanation:

First, you need to do 82/64, which will give you just x. Then, you need to round to three places. Without rounding it would be 1.28125

So with rounding it would be 1.28. Hope this helps and Happy learning!

Triangle Review 2.0 (Math i need help please)

Answers

Answer:

A= 30

Step-by-step explanation:

This requires several steps.

First, you need to find the 2 other missing angles.

One can be found easily by substracting 130 from 180

so 180-130 = 50

The other angle is the same as 8x+4

Now set up your equation

180=3x-6 + 8x+4 +50

180 = 3x + 8x -6 + 4 +50

180+6-4-50 = 11x

132 = 11x

132/11 = x

12 = x

Now plug in 12 for x in your angle A

A=3x-6

A=3 * 12 - 6

A=36 - 6

A= 30

trig question above plz plz plz help

Answers

The answers are:
1. B
2.C

Jenna ordered four pizzas for $8.55 each, including tax. If she wanted to give a
15% tip, what would her total bill be?

Answers

Given:

Cost of each pizza including tax = $8.55

Number of pizzas = 4

Tip = 15%

To find:

Her total bill.

Solution:

We have,

Cost of 1 pizza including tax = $8.55

Cost of 4 pizza including tax = [tex]4\times \$8.55[/tex]

= [tex]\$34.2[/tex]

It is given that she wanted to give a 15% tip. So, tip is 15% of $34.2.

[tex]\dfrac{15}{100}\times \$34.2=\$5.13[/tex]

Thus, the amount of tip is $5.13.

Now the total amount of bill is:

[tex]\text{Total amount of bill}=\text{Cost including tax}+\text{Tip}[/tex]

[tex]\text{Total amount of bill}=\$34.2+\$5.13[/tex]

[tex]\text{Total amount of bill}=\$39.33[/tex]

Therefore, the total amount of bill is $39.33.

A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?

Answers

$9.86

explanation:
100-32=68
14.5(.68)

Please answer this math question for me

Answers

Answer:

Hello!! answer: a = 45

Step-by-step explanation:

This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!

Answer:

a = 45

Step-by-step explanation:

The total angle of the shape is 90°

That means you should subtract 90° from 45°

90 - 45 = 45

That's your answer!

Hope this helped :)

Miriam conducted 40 trials of her experiment. She got a sum of 5 seven times. What is the experimental probability of getting a sum of 5 based on Miriam's experiment? Write your answer as a decimal. Do not round.

Answers

Answer:

jisdfhifjeiojfdkoafsdjhfdhuodjnsdfkfnjikhdsiutjkhfnijsdknijfkhisjkndijkfnijsk

Step-by-step explanation:

fdsijfokfnkesnjvnjcjksdnjcvnjnnkncxv

What is the total area of the figure below?

Answers

so: to calculate the area of a triangle is equal to (bxh)/2 and for the trapezoid is ((a+b)/2)xh
so for the triangle part we need to substitute each part for the formula (6x8)/2 which is equal to= 24inch^2. While for the trapezoid substituted would end up like this: ((16+10)/2)(9) which equals to 117 inch^2
yo get the total area we need to add both of them and it would end up being 117inch^2 + 24inch^= 141 inch^2

May I have help to figure out how to do this? It is confusing! :(

Answers

Answer:

it should be 80%

Step-by-step explanation:

I hope this helps

The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
the rectangle?

Answers

Answer:

35 inches

L×W=A

length×width=area

Answer:

Step-by-step explanation:

A = wl

7 x 5 = 35

Mark as Brainliest

i need help plz :( i don’t understand

Answers

The period stretches from 0 to pi so the answer should be pi

The product of a number n and 8 is 32

Answers

The answer is 8n=32

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