Question

Find a so that f(x) {7x+10 if x < or = 3
{-2x+a if x>3
is continuous at x=3.

Answer 1

lim (f(x))as x approaches 3 must exist, traduces to 7(3)+10=-2(3)+a

Answer 2

replace x by 3 in both expressions, set them equal, solve for a

Answer 3

oh my. thank you. so easy

Answer 4

37=a?