find all values of c

Question

Find all values of c such that f is continuous on (-∞, ∞).



Answer 1

To find where the function is continuous, find the value where these equations are equal.

3-x²=x Add x² and subtract 3 from both sides of the equation.

0=x²+x-3

This can't be factored. So would need to use the quadratic equation to solve.

x = (-1 ±√1²-4(1)(-3))/2 Simplify

x = (-1±√13)/2