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

Find a so that f(x) {7x+10 if x \[\le\] 3
{-2x+a if x>3
is continuous at x=3.

Answer 2

\[f(3)=7\cdot 3+10=31\]\[f(3)=\lim_{x\rightarrow 3}(-2x+a)=-6+a=31\]\[a=37\]