Question

Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f continuous at x = a.

f(x)= (x) / (7x^2-x) ; a= 0

Answer 1

Yes a=-1

Answer 2

Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f continuous at x = a.

f(x)= (x) / (7x^2-x) ; a= 0


Slution:
a) substitution with x=a=0 shows non defined fnc.
b) factorize the equation further:

x/(x(7x -1)) = (x/x)*(1/(7x-1))
=1/(7x-1)
Now substitute x=a=0
=> 1/(7x-1) = -1.

Therefore if we substitute for a=-1 we have a continuos fnc defined at x=-1.

Answer 3

is that ok?