Question

etermine the inputs that yield the minimum values for each function. Compute the minimum value in each case.
(a) F(x) = (4x2 − 4x + 163)1/2

Answer 1

did you want \[\sqrt{4x^2-4x+163}\]

Answer 2

if so, the minimum of 4x2-4x will also minimize F(x), because sqrt gets bigger as the argument inside gets bigger, as long as its positive / away from zero so that sqrt doesn't cause trouble