y = f(x) is continuous

Let

f(x) = 2x^2 - 3 if x >= 2

         ax + 7 if x > 2

Find a if the graph of y = f(x) is continuous

Hello Guest!

f(x) = 2x^2 - 3

\(f(x) = 2x^2 - 3=ax+7\\ x=2\\ 2\cdot 2^2-3=2a+7\\ a=(8-3-7)/2\)

\(a=-1\)

  !