akoiyahamlin0511 akoiyahamlin0511
  • 18-05-2021
  • Mathematics
contestada

find the inverse[tex]f(x)=x^{2} +10[/tex]

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 18-05-2021

9514 1404 393

Answer:

  [tex]f^{-1}(x)=\pm\sqrt{x-10}[/tex]

Step-by-step explanation:

You can find the inverse of

  y = f(x)

by solving for y:

  x = f(y)

__

  x = y² +10

  x -10 = y² . . . . . . . . subtract 10

  ±√(x -10) = y . . . . . take the square root

The inverse relation is ...

  [tex]\boxed{f^{-1}(x)=\pm\sqrt{x-10}}[/tex]

__

It is not a function unless some restriction is placed on the domain of f(x).

Answer Link

Otras preguntas

Need help on question 5 please.
this is the graph of f(x). what is the value of f(2)?
A researcher plans to conduct a significance test at the 0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative valu
Find the number for which: 25% is a lb
Classify the following triangle. Check all that apply.
find the value of the equation which is in below :[tex]1 \div 4 + \sqrt{3} [/tex]plz give the answer with step by step explanation ​
Two dice are thrown once. What is theprobability of gettinga) 2 sixes?​
help me pls help me pls​
this is my question r = mk eq​
Please help is dur tomorrow!!!! The Patriot Act allows the government to disregard certain rights given in the Constitution for suspected terrorists. Is that ac