eazatyan0002
eazatyan0002 eazatyan0002
  • 02-12-2021
  • Mathematics
contestada

WILL GIVE BRAINLIEST
Show how to find the inverse of f(x)= x^2+3. Show work and explain step by step.

Respuesta :

loneguy
loneguy loneguy
  • 02-12-2021

[tex]f(x) = x^2 +3 \\\\\text{Write f(x) as}~ y = x^2 +3 \\\\\text{Replace x with y and solve for y}\\\\x = y^2+3\\\\\implies y^2 = x-3\\\\\implies y=\pm\sqrt{x-3}\\\\\implies f^{-1}(x) = \pm\sqrt{x-3}\\\\\text{This is the inverse of f(x).}[/tex]

Answer Link

Otras preguntas

A child is standing across the street from his apartment . His mother is on their balcony . The angle of elevation between the child's eyes and his mothers eyes
What is a direct combination reaction?
You have a cylinder with a diameter of 15 inches and a height of 12 inches. What is the volume of the largest sphere thg will fit inside it? If you can will you
When was William Shakespeare born
Trying to translate word problems. Five times the sum of 3 and twice some number is 70. what is the number?
How many minutes are in 36 hours?
You have a cylinder with a diameter of 15 inches and a height of 12 inches. What is the volume of the largest sphere thg will fit inside it? If you can will you
How does transpiration play a  role in the water cycle ?
Was the Gold Rush a good or bad thing for the United States?
two identical freight cars roll without friction towards each other on a level track. one car rolls 2 m/s the other 1 m/s. after the cars collide they couple an