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I need help with this problem
Find all the constants a that make the function f(x)= 3(a-x) if x<3 continuous for all x
a^{2}-x^{2} if x> or equal to 3
This is what I did on the problem so far
3(a-x) if x<3 a^{2}-x^{2} if x> or equal to 3
lim-->3- 3(a-x)= lim_{x-->3+} a^{2}-x^{2 3(a-3)= 3a-9 3a-9=} lim_{x-->3+} a^{2}-x^{2 }3a-9= a^{2}-9
a^{2 }- 3a Thats the first equation but I do not know how to get the second equation since the limits is 3 for both of the equations in the problem