Question

Find the related square root function, p(x)
, for the quadratic equation h(x)=4x2
with the domain of (0,∞)
.(1 point)
p(x)=ax−−√
where a=

Answer 1

a = 1/2

Reason: For h(x) = 4x^2 with x > 0, solve y = 4x^2 for x to get x = (1/2)√y. Thus the inverse p(x) = (1/2)√x, so a = 1/2.