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
MAVERICK [17]
2 years ago
10

Find the inverse

}^{3x - 1} " alt="f(x)={e}^{3x - 1} " align="absmiddle" class="latex-formula">
Tank you for your support ​
Mathematics
1 answer:
FromTheMoon [43]2 years ago
8 0

Answer:

f^{-1}(x)=\dfrac{1}{3}(\ln x +1)

Step-by-step explanation:

Given function:

f(x)=e^{3x-1}

Replace f(x) with y:

\implies y=e^{3x-1}

Take natural logs of both sides:

\implies \ln y = \ln e^{3x-1}

Apply the Power Log Law   \ln x^n=n\ln x :

\implies \ln y = (3x-1)\ln e

As \ln e=1 then:

\implies \ln y = 3x-1

Rearrange to make x the subject:

\implies 3x=\ln y +1

\implies x=\dfrac{1}{3}(\ln y +1)

Swap x for f^{-1}(x)  and y for x:

\implies f^{-1}(x)=\dfrac{1}{3}(\ln x +1)

You might be interested in
ANSWER CHOICES LISTED!!!
Kipish [7]

Answer:f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the time, amount = Rs 1375, principal =Rs 1250, Rate - 4%​
TiliK225 [7]

Answer:

so time is 2 years and 6 months

4 0
2 years ago
Read 2 more answers
Which products are negative?
Aliun [14]
Both A and D are negative products.
3 0
3 years ago
A 26' long painting is how many yards?
guapka [62]
It's <span>0.72 yards.
1 = 0.02
so 26*0.02=0.72</span>
8 0
3 years ago
Read 2 more answers
Wait so the sum of interior angles
Amiraneli [1.4K]
<h3>Answer:   1260</h3>

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

Work Shown:

n = number of sides = 9

S = sum of the interior angles of any polygon with n sides

S = 180(n-2)

S = 180(9-2)

S = 180(7)

S = 1260

8 0
3 years ago
Other questions:
  • Which function rule represents the data in the table?
    15·2 answers
  • Find the value of x
    11·2 answers
  • 15 points and brainliest!! please help !!
    6·1 answer
  • Convert. If necessary, round to the nearest tenth.
    10·1 answer
  • DeSPERATE!!! 6+5(s-3t)= ??
    9·2 answers
  • Find the length of the hypotenuse in the right triangle, if one leg is 15 and the other leg is 8
    14·1 answer
  • The median of the following data will ________________________ when you in add a data value of 1? (DO MATH on paper!) 8, 9, 9, 4
    9·1 answer
  • How does dating violence affect health? Click all that apply. ​
    13·2 answers
  • What the slope of a line
    8·1 answer
  • 2.1.4 Practice: Adding Rational Numbers
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!