Find the domain of the square root function. then use the domain to match the radical function with its graph

Question

f(x)= √9x+45

Answer 1

f(x) = √(9x) + 45

 

The domain of √x is all x≥ 0, or [0,∞).  The domain of √(9x) is the same.

 

The factor of 9 in front of the x (√9x) causes the graph to rise more quickly than the graph of √x.  The 45 added onto the √9x lifts the graph upward 45 units.