1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nata [24]
2 years ago
7

How do you find the inverse of the exponential growth function?

Mathematics
1 answer:
suter [353]2 years ago
6 0

Answer:

The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)

Step-by-step explanation:

Starting equation... f(x) = 9.16(1.0054)ˣ

Visually rewritten... y = 9.16(1.0054)ˣ

Flipping x and y... x = 9.16(1.0054)ʸ

Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ

Taking the log of both sides... log (x/9.16) = y log (1.0054)

Isolating y... log (x/9.16)/log (1.0054) = y

Solution... y = log (x/9.16)/log (1.0054)

You might be interested in
Winston has just gone grocery shopping. The mean cost for each item in his bag was $2.71. He bought a total of 9 items, and the
sukhopar [10]

The cost of the 9th item is  $3.94

Since the mean cost for the 9 items in his bag was $2.71. Then, the total cost will be: = 9 × $2.71 = $24.39

In order to get the price of the 9th item, we have to calculate the price of all the 8 items given which will be:

$2.01 + $2.20 + $2.68 + $3.59 + $3.12 + $1.64, + $1.75 + $3.46 = $20.45

Therefore, the cost of the 9th item will be:

= $24.39 - $20.45

= $3.94

Read related link on:

brainly.com/question/24562826

3 0
3 years ago
Find the percent change from 10 yards to 13 yards
joja [24]
The percentage change is 20
5 0
3 years ago
Read 2 more answers
A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

5 0
3 years ago
The value of x is 40 but how do I get that I need to show work ?
Butoxors [25]

Answer:

120 ÷ 3 = 40

Step-by-step explanation:

6 0
3 years ago
Plsssss ans I am suffering
maria [59]
I. The multiples of three are in the third and sixth column ii. The multiples of 6 are in the sixth column b. The fifth column c. Yes
6 0
3 years ago
Other questions:
  • ivy bought 10 packs of cups for her holiday party. a pack of medium cups costs $1.80 and a pack of large cups costs $2.40. she p
    9·2 answers
  • The product of 3 and m
    15·1 answer
  • How do you solve 3 = x + 3 + 6x?
    6·2 answers
  • Find the surface area of the pyramid, round to the nearest tenth:
    6·2 answers
  • Join the zoommmmmmmmmm
    7·2 answers
  • Pls answer this is due in 30 minutes
    15·1 answer
  • 5/3 into mixed fraction
    5·1 answer
  • Can someone please help me <br><br> 1. f(x)=-(x+4)^2-4<br> 2. f(x)=(x-1)^2
    12·1 answer
  • The point (6, - 5) is reflected across the y axis what is the new point
    7·1 answer
  • Answer Please...I will give BRAINLIEST!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!