Question

For what value of "a" is f(x)= x^2-1, x=<3
2ax , x >3
continuous over all Real numbers?

Answer 1

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

Answer 2

\[f(3)=3^2-1=9-1=8=2a\times 3=6a\]

Answer 3

\[6a=8\]
\[a=\frac{8}{6}=\frac{4}{3}\]

Answer 4

Brilliant, thank you very much!