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
marshall27 [118]
3 years ago
11

What is the inverse of f(x)=x^2 - 2

Mathematics
2 answers:
Allushta [10]3 years ago
6 0

Answer:

f^{-1} (x) = \sqrt{x+2} , - \sqrt{x+2}

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Hope this helps,

Davinia.

8_murik_8 [283]3 years ago
4 0

Answer:

  -1

f      (x)  =  +√(x + 2)

Step-by-step explanation:

The graph of f(x)=x^2 - 2 is that of a parabola that opens up and has its vertex at (0, -2).   A horizontal test line drawn through this graph intersects the graph in 2 places, which indicates that f(x)=x^2 - 2 per se does not have an inverse function.

However, if we restrict the domain of f(x)=x^2 - 2 to [0, ∞), the graph is the right half of that of f(x)=x^2 - 2.  This part of the graph shows that f(x)=x^2 - 2 on [0, ∞) has an inverse.

To find this inverse algebraically:

1) replace "f(x)" with "y":  y = x^2 - 2

2) interchange x and y:  x = y^2 - 2

3) solve this result for y:  y^2 = x + 2, or y = +√(x + 2)

4) replace this 'y' with the symbol for 'inverse function of x:'

  -1

f      (x)  =  +√(x + 2).  The domain of this function is (-∞, -2].

You might be interested in
Find the surface area and please explain​
dlinn [17]

Answer:

I NEED MORE DETAILS

Step-by-step explanation:

ITS ALSO BLURRY

8 0
3 years ago
Help please and thank you
aksik [14]
Remember
(a^b)^c=a^{bc}
and
\frac{x^a}{x^b}=x^{a-b}


so

\frac{(7^2)^5}{7^{-6}}=
\frac{7^{2*5}}{7^{-6}}=
\frac{7^{10}}{7^{-6}}=
7^{10-(-6)}=
7^{10+6}=
7^{16}

the answer is D
5 0
3 years ago
Please explain how to do this i am lost
mixas84 [53]

Answer: y = 7x - 6

Step-by-step explanation:

7 = m (slope)

-6 = y-intercept

8 0
3 years ago
Read 2 more answers
I will give your brainliest for this please
erastova [34]

cos=adj/hyp

=0.5/1.3

CD=0.4

*add CD+BC to find BD

So

0.4+1.0

BD=1.4cm

6 0
3 years ago
Read 2 more answers
Which one is it?????
photoshop1234 [79]
It is right 1 down 3
8 0
3 years ago
Other questions:
  • What is the maturity value of a single-
    6·1 answer
  • Ahmad is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 12 feet and its width is 10 feet. Supp
    11·1 answer
  • I need help on this question plz
    5·1 answer
  • What is 13÷1/3 converted to decimal form
    15·1 answer
  • What is the volume of a right circular cylinder with a radius of 5cm and a height of 12cm?
    9·2 answers
  • Help what is 4(3q+10)=6(2q-9)
    13·2 answers
  • How do you solve x/9-1/3=-5/3
    13·1 answer
  • How many thousands are in 5,000 ones
    6·2 answers
  • In the figure below, find the exact value of y.
    13·1 answer
  • Kelly works at her own nail
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!