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
svetlana [45]
3 years ago
6

Algebra 2! Help! I WILL GIVE BRAINLIEST!!!!

Mathematics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

f^{-1}(x)=\dfrac{2}{x+1}-2;

the domain of the function f^{-1}(x) is   (-\infty,-1)\cup(-1,\infty);

the range of the function f^{-1}(x) is   (-\infty,-2)\cup(-2,\infty).

Step-by-step explanation:

To write the rule of inverse function you need to express x in terms of y and then change x into y and y into x.

1.

y=\dfrac{2}{x+2}-1,\\ \\\dfrac{2}{x+2}=y+1,\\ \\x+2=\dfrac{2}{y+1},\\ \\x=\dfrac{2}{y+1}-2.

2. Change x into y and y into x:

y=\dfrac{2}{x+1}-2,\\ \\f^{-1}(x)=\dfrac{2}{x+1}-2.

3. The domain of the function f(x)=\dfrac{2}{x+2}-1 is (-\infty,-2)\cup(-2,\infty) and the range is   (-\infty,-1)\cup(-1,\infty). Thus, the domain of the function f^{-1}(x) is   (-\infty,-1)\cup(-1,\infty) and the range is  (-\infty,-2)\cup(-2,\infty)

You might be interested in
Rachel has taken 6 tests so far and has received scores of 83%, 92%, 79%, 88%, 89%, and 95%. What must Rachel receive on her sev
Vinil7 [7]
Let the score on her seventh test be "x".

SO,

\frac{83+92+79+88+89+95+x}{7} =90\\\\ \frac{526+x}{7}=90\\\\ 526+x=630\\\\x=630-526\\\\ \boxed{x=104}

∴ He must get 104% on his seventh test to get an average score of 90%
5 0
3 years ago
Read 2 more answers
Which of the following shapes are rectangles ? Please choose 2 correct answers !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
timurjin [86]

Answer:

I think it is b and d .

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
20 POINTS! + BRAINLIEST!
g100num [7]

Answer:

= x^4 -x^3 -4x^2 -3

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We want to find f-g

(f-g) (x) = x^4 -x^2 +9 - (x^3 +3x^2 +12)

Distribute the minus sign

(f-g) (x) = x^4 -x^2 +9 - x^3 -3x^2 -12

            = x^4 -x^3 -4x^2 -3

3 0
3 years ago
Read 2 more answers
Find the trinomial below 4x^2 + 12x + 9
gulaghasi [49]

Answer:

4x²  +  12x  +  18

Step-by-step explanation:

This would be the trinomial.

4 0
3 years ago
Read 2 more answers
A^2-a+12=0 I need the roots
kumpel [21]

Answer:

a = 1/2 (1 ±sqrt(47))

Step-by-step explanation:

a^2-a+12=0

We will complete the square

Subtract 12 from each side

a^2-a+12-12=0-12

a^2-a=-12

The coefficient of a = -1

-Divide by 2 and then square it

(-1/2) ^2 = 1/4

Add it to each side

a^2 -a +1/4=-12 +1/4

(a-1/2)^2 = -11 3/4

(a-1/2)^2= -47/4

Take the square root of each side

sqrt((a-1/2)^2) =sqrt(-47/4)

a-1/2 = ±i sqrt(1/4) sqrt(47)

a-1/2= ±i/2 sqrt(47)

Add 1/2 to each side

a-1/2+1/2 = 1/2± i/2 sqrt(47)

a =  1/2± i/2 sqrt(47)

a = 1/2 (1 ±sqrt(47))

8 0
3 years ago
Other questions:
  • Dan made $242 for 11 hours of work.
    6·1 answer
  • Devin recorded the number of hours he played a video
    12·2 answers
  • Tell whether the system has one solution infinitely many solutions or no solution.
    6·2 answers
  • Im badd i kinda understand but not really understanding it
    7·2 answers
  • Look at exemplar above and use desmos to graph and identify the solution
    6·1 answer
  • Volume of cylinder with a base radius of 5 and height of 3
    6·1 answer
  • Which of these relations is a function?
    12·1 answer
  • Hi! help is greatly appreciated!
    8·2 answers
  • Find the volume of this sphere.<br> Use 3 for T.<br> d=6in<br> V ~ [?]in3<br> V = Tr3
    14·1 answer
  • Please help explain and solve angels homework
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!