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
never [62]
1 year ago
6

What is the inverse function of y = (x-4)^2+2

Mathematics
1 answer:
Talja [164]1 year ago
6 0

One way to find the inverse of a function is by first swapping x and y, then solving for y, like this:

\begin{gathered} y=(x-4)^2+2\text{ }\Rightarrow x=(y-4)^2+2 \\  \end{gathered}

Now, let's solve for y, like this:

\begin{gathered} x=(y-4)^2+2 \\ x-2=(y-4)^2+2-2 \\ (y-4)^2=x-2 \\ \sqrt[]{\mleft(y-4\mright)^2}=\sqrt[]{x-2} \\ y-4=\sqrt[]{x-2} \\ y-4+4=\sqrt[]{x-2}+4 \\ y=\sqrt[]{x-2}+4 \end{gathered}

Then, the inverse function of y = (x-4)^2+2​ is:

y=\sqrt[]{x-2}+4

You might be interested in
Pls help with this question
Andreyy89

Answer:

7.01, 10, 7.1, 12, 7.001, 8, 15

Step-by-step explanation:

Those numbers are all greater than 7

7 0
3 years ago
Find the value of x and the measure of the angle labeled 3x
mafiozo [28]

Answer:

27

Step-by-step explanation:

45+27=72 and the overall angle is 72

5 0
3 years ago
Read 2 more answers
A circular tabletop has an approximate circumference of 47.1 inches. What is its diameter?
Genrish500 [490]

Answer: 14.99

Step-by-step explanation:C=2πr

d=2r

Solving ford

d=C

π=47.1

π≈14.9924

6 0
3 years ago
Find the value of x in each case. Give reasons to justify your solutions! e L, M ∈ KN
Greeley [361]

Answer:

X=36

Step-by-step explanation:

3x+72=180

3x=180-72

3x=108

x=36

8 0
3 years ago
Gonna need help answering this <br> Y=1/2x+7<br> Y=x-8
Nata [24]
What is the problem?
3 0
3 years ago
Read 2 more answers
Other questions:
  • Will mark Brainliest!!!!!!!!
    10·1 answer
  • The function f(x) has been transformed to give g(x). Which of the following functions represent g(x)
    13·2 answers
  • Carissa made a scale drawing of a rectangle She use the scale factor of three to draw the new rectangle how does the length of t
    13·1 answer
  • Solve for x. 2x−45=x+4 Enter your answer in the box. x =
    15·1 answer
  • How would i find the square root of this problem? <img src="https://tex.z-dn.net/?f=-%20%5Csqrt%7B%5Cfrac%7B25%7D%7B36%7D%20%7D%
    9·1 answer
  • Round 6,205 to the nearest hundred.<br> O<br> Х<br> 5<br> ?
    7·2 answers
  • I have one question, i'll give ya'll 50 points!
    14·1 answer
  • – 2(2x 8) + 4 = 3(x + 4)
    6·1 answer
  • Rewrite each expression by factoring out the greatest common factor.
    6·1 answer
  • Which of the following choices is equivalent to -9x &gt; -27?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!