Question

Find the value(s) of c (if any) that makes the function continuous:

f(x) = {x^2-c x<5
{4x+2c x≥5

I looked up the answer in the back which says c=5/3 but i have no idea how to get there.

Answer 1

because you want c that satisfies \[\Large 5^2-c=4\cdot 5+2c\]

Answer 2

thank you!