The reflection of a 10.0 cm object appears to be 18 cm tall and 9 cm behind the mirror. What distance is the object from the mirror?

cm

5cm

Explanation:

Given the following :

Image height = 18cm

Object height = 10cm

u = object distance

v = image distance = 9 cm

Using the relation:

image height/object height= v/u

18/10 = 9/u

Cross multiply

18 × u = 10 × 9

18u = 90

u = 90/18

u = 5cm

Therefore,

Object distance from mirror = 5cm

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

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