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

how did Japan's feudal system impact society?
i need a paragraph on work experience like where i went ,what i did,what my boss was like and what i did during the work experience ? can anyone help?!
What was the goal of the Americanization movement?
What was the goal of the Americanization movement?
what is the perimeter of a triangle with vertices of (5,1) (-3,3) (-7,-3)
Solve by completing the square X squared -6x+8=0
19-10x+4=4x-5 i dont understand this equation
what is the perimeter of a triangle with vertices of (5,1) (-3,3) (-7,-3)
How many Jews did Adolf Hitler killed
write the ratio as a fraction in simplest form6ft to 4yd