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

Of the 8 concepts in family system theory which one appears throughout all others
Why is implicit differentiation necessary in order to find derivatives of curves which do not represent functions? Come up with your own implicitly defined func
On a recent test, rudi correctly answered 30 out of 40 questions. What percent of her questions did rudi answer correctly?
Symptoms of excessive stress include all of the following except
an object travels a distance of 6 m in 2 seconds if average speed is found using the equation distance traveled/ elapsed time what is the average speed of the o
Convert y = x^2 + 2x - 5 into the form y-k = a( x- h)^2
Find the range of 4/3-t​
a company makes concrete bricks shaped like rectangular prisms. Each brick is 10 inches long, 6 inches wide, and 4inches tall. If they used 13,200 cubic inches
Two step equations -5n+8=-7
Practice using undefined terms in definitions and wanalyzing diagrams.AsignmentWhich defines ray?O a piece of a line with two endpointsO all points equidistant