The maximum walking speed (in feet per second) of a large animal can be modeled by the equation S = sqrt(gL) where S = speed in feet per second, g = a constant rate of 32 feet per second, and L = the length of one leg of the animal, in feet.

What domain makes sense for the function S(L) = sqrt(gL)

A. L is any real number
B. 0 < L <= 32

D. L >= 32

What range makes sense for the function S(L) = sqrt(gL)?

A. 0 < S <= 32
B. S => 32

D. S is any real number

Please help me!! And thank you :)

2 answers

since √x is defined only for x≥0, you need gL= 32L ≥ 0
That is L≥0

for the range, since gL ≥ 0, S ≥ 0

where is choice C for both questions?
ever hear of proofreading?
there is but I knew that answer was wrong, I took the c out