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

Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x-20y= 60 help I need the answer
Help me please if you can
What are transverse waves made of? help anyone?!!
What is the solution to log[sub=2]9x-log[sub=2]^3=3 x = three-eighths x = eight-thirds x = 3 x = 9
The list of grievances were the part of the declaration that
A train travels 45 miles per hour. Represent the relationship between distance and time in the coordinate plane.
What type of white blood cell is responsible for antibody-related immunity?.
!!HELP FAST!! What is the velocity if wavelength is 8 m and frequency is 20 Hz?
Show that [An(AnB)']= A'uB by the Use of laws of Algebra of sets​
Find the distance around each figure.Use 3.14 for pi.