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
e-lub [12.9K]
3 years ago
12

Given the function f(x) = 0.3(4)x, what is the value of f−1(6)?

Mathematics
2 answers:
timofeeve [1]3 years ago
8 0
Answer in  2.161 tell me if i made a mistake.
Levart [38]3 years ago
5 0
<h2>Answer:</h2>

The value of f^{-1}(6) is:

                f^{-1}(6)=2.161

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

                    f(x)=0.3\cdot 4^x

Now, we are asked to find the value of:

f^{-1}(6)

Let:

f^{-1}(6)=x\\\\i.e.\\\\f(x)=6

i.e.

0.3(4)^x=6\\\\i.e.\\\\4^x=\dfrac{6}{0.3}\\\\i.e.\\\\4^x=20

Now, we take the logarithmic function on both the side of the inequality in order to obtain the value of x.

x\log 4=\log 20

( Since, we have:

\log m^n=n\log m )

Hence, we have:

x=\dfrac{\log 20}{\log 4}

i.e.

x=\dfrac{1.3010}{0.6021}\\\\i.e.\\\\x=2.161

Hence, we have:

                    f^{-1}(6)=2.161

You might be interested in
3.1 Write the following in scientific notation<br>a) 217 000 000 b) 0,000 253​
AlekseyPX

Answer:

2.17 x 10^8

0.253 x 10^-4 if number is 0.000253 or 2.53 x 10^2 if number is 253

Step-by-step explanation:

6 0
3 years ago
19) A six-sided die is rolled six times. What is
aleksley [76]

Answer:

D

Step-by-step explanation:

Probability that the die will show an even number

in one rolling is 3/6=0,5 = p

We have formula for repeating rolling

n!/(r!(n-r)!) p^r (1-p)^(n-r)

n = how many times we repeat rolling = 6

r = how many times we want something to happen

(show an even number exactly two times) = 2

15 *(0,5)^2 *(0,5)^4 = 0,234375

4 0
2 years ago
How old is a dog when they are 40 in human years?
Scorpion4ik [409]

Answer:

280 years old

Step-by-step explanation:

to determine a dog's age in dog or human years, you divide or multiply by 7

40x7=280 years

4 0
3 years ago
Bob can dig holes and plant 15 trees in 60 minutes. George can accomplish this same task in 120 minutes. If they work together,
yan [13]

Answer:

0

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which numerical expression represents the value (in cents) of 12 dimes?
bekas [8.4K]
B is the answer since dimes are worth 10 cents
4 0
3 years ago
Read 2 more answers
Other questions:
  • Ethan writes 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?
    9·2 answers
  • Convert x2 + x I factorization of binomials
    14·1 answer
  • What is 12.3 + 4.7 estimate sum and difference
    14·2 answers
  • 3x-1/2y +2 2/3y -5/6x
    14·1 answer
  • Item 2
    5·1 answer
  • Kesia is writing a report about two of the world's fastest fish. She wants to put the faster fish on the cover of her report. Th
    5·1 answer
  • Please it’s due today I need help ASAP
    10·1 answer
  • What’s the work and answer for this? Someone please tell me
    12·1 answer
  • Find the value of x. Only need 7 and 9 answered.
    8·1 answer
  • In June, you start a holiday savings account
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!