Question

hi, i need some help.
y=4x^3-25x^2+15x-54/x-6 if x<6
y=-5x^2+6x+a if 6< or = to x
what is the value of a in order to make the function continuous at 6?

Answer 1

If you find the limit of the first function (for < 6) as x approaches 6 from the negative side, that will tell you the value that the second function needs to have to make the function continuous at 6. Does that make sense/help?

Answer 2

thanks yes it does.

Answer 3

Awesome!