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
Mademuasel [1]
3 years ago
11

What is the inverse of the function below?

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
6 0

Answer:

\frac{ln \: x}{ln \: 3}  = {f}^{-1}(x)

Step-by-step explanation:

To find the inverse, interchange the variables and solve for <em>y</em>.

I am joyous to assist you anytime.

oksano4ka [1.4K]3 years ago
4 0

Answer:

Log_{(3)}X

Step-by-step explanation:

f(x)=3^{X}

y=3^{X}

<u><em>exchange the variables </em></u><u><em>x </em></u><u><em>and </em></u><u><em>y </em></u>

<u><em>X=3^{y}</em></u>

<u><em>Log_{(3)}X=Log_{(3)}3^{y}</em></u>

<u><em>Log_{(3)}X=y</em></u>

<u><em>f^{-1}(x)=Log_{(3)}X</em></u>

You might be interested in
Log4 (2x+10)=2 me ajudem!!
Travka [436]
The answer is 3.
You're welcome
7 0
3 years ago
Please help me with these
Alex Ar [27]
When we approach limits, we are finding values that are infinitesimally approaching this x-value. Essentially, we consider the approximate location that this root or limit appears. This is essential when it comes to taking Calculus, and finding the limit or rate of change of a function.

When we are attempting limits questions, there are several tests we attempt first.

1. Evaluate the limit by substituting the value of the x-value as it approaches the value (direct evaluation of a limit)
2. Rearrangement of the function, such that we can evaluate the limit.
3. (TRIGONOMETRIC PROPERTIES)
\lim_{x \to 0} (\frac{sinx}{x}) = 1
\lim_{x \to 0} (\frac{tanx}{x}) = 1
4. Using L'Hopital's Rule for indeterminate limits, such as 0/0, -infinity/infinity, or infinity/infinity.

For example:

1) \lim_{x \to 0}\frac{\sqrt{x} - 5}{x - 25}

We can do this using the first and second method.
<em>Method 1: Direct evaluation:</em>

Substitute x = 0 to the function.
\frac{\sqrt{0} - 5}{0 - 25}
= \frac{-5}{-25}
= \frac{1}{5}

<em>Method 2: Rearranging the function
</em>

We can see that x - 25 can be rewritten as: (√x - 5)(√x + 5)
By rewriting it in this form, the top will cancel with the bottom easily, and our limit comes out the same.

\lim_{x \to 0}\frac{(\sqrt{x} - 5)}{(\sqrt{x} - 5)(\sqrt{x} + 5)}
= \lim_{x \to 0}\frac{1}{(\sqrt{x} + 5)}}
= \frac{1}{5}

Every example works exactly the same way, and by remembering these criteria, every limit question should come out pretty naturally.
8 0
3 years ago
What does unit rate mean​
satela [25.4K]

Answer:

Unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles, per hour, cost per item, earnings and per week

Step-by-step explanation:

6 0
3 years ago
Identify an equation in point-slope for the parallel to y=3/4x-4 that passes through (-1,7)
Nikitich [7]
The answer is B! Ive past my test for this task.
4 0
3 years ago
Is (-3,4) a solution to the equation y=3x+107<br> O A solution<br> O Not a solution
Ira Lisetskai [31]

Answer:

no

Step-by-step explanation:

its is not a solution, however if the equal sign actually looks like

\leqslant

then it would be yes

4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you write 4 to the 2ND power in standard notation
    14·1 answer
  • In one design being considered for the containers shaped like a rectangular prism, each container will have a height of 11 1/2 i
    13·1 answer
  • What is the answer too -6/7 x 3/8 hurry quickly please
    15·1 answer
  • Need to know how to work out 3762 decide by six
    5·1 answer
  • Please help ASAP i don’t understand this !!
    14·2 answers
  • Please someone help me with this question. Worth branliest if you get it right. Thank you!
    12·2 answers
  • Consider the angle 0.<br> What is the value of the ratio opposite/adjacent
    7·1 answer
  • The rare tweety-birds are decreasing at a rate proportional to the
    15·1 answer
  • 3. Solve the equation for the given variable. For each step, identify the property used to convert the equation. 14 + 3n = 8n -
    6·1 answer
  • PLEASE HELP ME! For a geometric sequence, if a1 = 2 and a5 = 1250, what is the value of r?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!