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
liberstina [14]
2 years ago
8

F(x)= 2x+3/x-1, x ≠ 1, dan f^-1 adalah invers dari f

Mathematics
1 answer:
Sindrei [870]2 years ago
5 0

Answer:

The answer are

A.

{f}^{ - 1} (x) =  \frac{x + 3}{x - 2}

B.

{f}^{ - 1} ( - 3) = 0

Step-by-step explanation:

To find the infers we do that

f(x) =  \frac{2 x + 3}{x - 1 }  \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\  x =  \frac{f(x) + 3}{f(x) - 2}  \\ then \:  \\  {f}^{ - 1} (x) =  \frac{x + 3}{x - 2}  \\ then \\  {f }^{ - 1} ( - 3) =  \frac{ - 3 + 3}{ - 3 + 2}  = 0

You might be interested in
Idk this is supper hard
vlabodo [156]

Answer:

The equation of the line is:  y = x + 4

Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form:    $ \frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}}    }$

where $ (x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2) $ are the points passing through the line.

Here, let us take two points (can be any two):

$(x _1, y_1) = (1, 5) $ and

$ (x_2, y_2) = (5, 9) $

Therefore, we have:

$ \frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1} $

$ \iff \frac{y - 5}{4} = \frac{x - 1}{4} $

$ \iff y - 5 = x - 1 $

$ \implies y = x - 1 + 5 $

$ \implies y = \textbf{x + 4} $ which is the required answer.

4 0
3 years ago
Math help!<br> (check the attachment)
Evgesh-ka [11]
(x-30)+(x+76)=180
x-30+x+76=180
2x+46=180
2x=134
x=67
67-30=37
67+76=143
<1=37, <2=143
5 0
3 years ago
Read 2 more answers
N=1/8;2/n wat is the answer to this question
mylen [45]

Answer:

  16

Step-by-step explanation:

  \dfrac{2}{\dfrac{1}{8}}=2\cdot\dfrac{8}{1}=\dfrac{2\cdot 8}{1}=16

There are numerous ways to work a problem like this. One is shown above, where we multiply by the inverse of the denominator.

For this you can always use a calculator. Be sure to use parentheses around the denominator fraction.

7 0
3 years ago
Which of the following things about line graph is true
horrorfan [7]
What are the following things?
7 0
3 years ago
Simplify -20b^8 + 2b^8
masya89 [10]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • If the sales tax on a $30 item is $1.80, what is the sales tax rate?
    12·1 answer
  • john is planning to purchase a new car that cost 15500. on average a new car loses 11% of its value to the moment that is drivin
    7·1 answer
  • I need the answer for number 1
    15·1 answer
  • Select the correct answer
    7·2 answers
  • How do you find how many times larger
    15·1 answer
  • 3) A number between 0 and 1, expressed as one number over another, is called a _ _ _ _ _ _ _ _.
    10·2 answers
  • The price for 11 ballpoint pens is $11.77. Which of the following represents the same price per pen? A. 4 pens for $4.44 B. 5 pe
    6·2 answers
  • I need help don’t understand
    10·1 answer
  • Help pls!! Is triangle ABC similar to triangle DEF
    8·1 answer
  • I want to know how to find EF and what the answer is.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!