what is the domain of 4x^2-2x+3/-x^2+1

Question

domain of (f/g)(x) what is the domain of 4x^2-2x+3/-x^2+1

Answer 1

You don't have two functions to divide by, but I will give you the solution to the function have here.

 

The domain is the set of x values in which the graph exists.  Since the denominator cannot equal to zero, we set the denominator equal to zero and solve for x.

 

-x² + 1 = 0

 

-x² = -1

 

x² = 1

 

x = -1       and        x = 1

 

 

The domain is all real numbers except for -1 and 1.