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

Find the endpoint given a midpoint of (3,2) and an endpoint of (4,-3)
Please marry me! Summarize
Herpetology is the study of what? Birds, Exotic animals, Zoo habitats, Reptiles
Which Type of thermal energy uses electromagnetic waves to transfer energy
What is the radius of a circle represented by the equation x²+y²x²+y²-2x+4y-18=0
An element belongs to group 17 of the periodic table. The element is most likely a
What can be inferred from the concept
Please help thank you much!
Find a parametric representation for the surface. The part of the sphere x2 + y2 + z2 = 16 that lies between the planes z = −2 and z = 2. (Enter your answer as
Find the y-intercept of the parabola y = x2 - 5.