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Question

Let f(x) be the function

f(x)={ x2−c for x<4

5x+3c for x ≥ 4.

Find the value of c that makes the function continuous. (Use symbolic notation and fractions where needed.)

c =

Answer 1

Since the function is to be continuous at x=4,

set 16-c=20+3c

which will produce c=-1