Domain and Range

Question

A=((450-3x)/2))w

 

Determine the domain and range of this area function.

Determine the dimensions that give the maximum area.

Please help me solve this step by step.

Answer 1

 

  There are do variables in the denominator, no square roots, and no logs

 

The only thing that matters is that the area is positive.

 

450 - 3x >0

 

450 > 3x

 

150>x

 

0 < x < 150

 

i am assuming w is a positive scalar constant