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The focal length, F, in a camera is given by the following function, where d is the distance from the lens in the camera to the object being photographed.

F = 2.24d/ d +2.24

Write an equation that expresses distance, d, as a function of the focal length, F.

Respuesta :

Thagie
You are asked to solve the equation given for d. As it is a proportion you can cross multiply and then isolate the d.

[tex]F= \frac{2.24d}{d+2.24} [/tex]
[tex]F(d+2.24)=2.24d[/tex]
[tex]Fd+2.24F=2.24d[/tex]

Next factor out d to obtain

[tex]2.24F=d(2.24-F)[/tex]
[tex]d= \frac{2.24F}{2.24-F} [/tex]

Using function notation: [tex]G(d)= \frac{2.24F}{2.24-F} [/tex]

braydendduncan

Answer: D) d = -2.24F/F-2.24