Answer:
c=7
Step-by-step explanation:
because the limit exists and this is a piecewise function, we can assume that f(2) is a removable discontinuity and that both equations should be the same.
we can equal them to each other, plug in 2 for x and solve for c.
root(x + c) = 4 - .5x
root(2 + c) = 4 - .5(2)
root(2 + c) = 3
2 + c = 9
c = 7