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

−11 + |−5| − |−15| help
write the six types of noun and example.
When full, a car's petrol tank holds k litres. After using 15 litres, the remaining petrol is enough for the car to travel 344 km. if a car travels 8km litre fi
What is 3co2 + 4H2O = H2CO3?
How does Ibsen use dramatic irony to create the suspense in this passage Nora does not know that?
A magnetic field of magnitude 0.48 T is directed vertically upward. (a) Find the magnetic flux through a flat surface of area 19 cm2 if the surface is vertical.
What is the correct definition of character for potential cosigners?
Three vertices of DEFG are D(1, 1), E(5, 2), and F(1, 8). Find the coordinates of the remaining vertex.
Market research needs to be carried out – What primary research did you do to determine if people would want your products or service and what secondary researc
What classes might you take in high school to get prepared if you wanted to be a forensic pathologist or forensic anthropologist?​