jennamunoz121 jennamunoz121
  • 04-01-2020
  • Mathematics
contestada

The function f is f of x= √4-x

What is the xcoordinate of the point on the functions graph that is closest to the origin?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 15-01-2020

Answer:

  0.5

Step-by-step explanation:

We assume your function is

  [tex]f(x)=\sqrt{4-x}[/tex]

The distance formula can be used to find the distance from the point on the curve (x, f(x)) to the origin:

  d^2 = (x)^2 + (f(x))^2 = x^2 + (4 -x)

Written in vertex form, this is ...

  d^2 = (x -1/2) + 3.75

This has a minimum at x=1/2, so that is the x-coordinate of the point closest to the origin.

Answer Link

Otras preguntas

on sara's computer, 3/8 of the hard drive is files. Of the files, 1/6 are games . What part of the hard drive is games?
A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 h
What's breed of given cat???Check attachment
what are three ways water erodes the surface of earth
two methods of active transport
what are three ways water erodes the surface of earth
36 is _______% less than 60?
A snowball is launched horizontally from the top of a building at v = 16.9 m/s. If it lands d = 44 meters from the bottom, how high (in m) was the building?
3 ( 4d + 1 ) - 9d = 6 - 2d
Why did Henry Clay group his resolutions in pairs in the Compromise of 1850?