g(x)-4x^2-5

Question

i want to know the implied domain of the function 

Answer 1

Let f(x) = -4x^2 - 5 = -4(x - 0)^2 - 5 ; which has it's vertex at (0,-5) and opens down.

 

The domain of f(x) is All Real Numbers because x can be All Real Numbers.

 

Then the domain of g(x) + f(x) will be the domain of g(x).

Answer 2

Unless I read the question wrong, the answer is that the domain (potential values of x) is all real numbers ... negative infinity to positive infinity.

 

I assume the correct statement is "g(x) = 4x^2-5"