Consider f(x) = 2x2 + 1 and g(x) = 3x − 6. Which statement about f + g is true? A. It is a linear function.
B. It is a quadratic function.
C. The domain is x ≥ −3.
D. The range is all real numbers.

Given:

The two functions are:

To find:

The correct statement about the function .

Solution:

We have,

Adding both functions, we get

It is a quadratic function. So, option A is incorrect and option B is correct.

The domain of is all real numbers because it is defined for all real values of x. So, option C is incorrect.

The range of cannot be the all real numbers because it has a minimum value of y as the leading coefficient is positive. So, option D is incorrect.

Therefore, the correct option is B.

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step-by-step explanation:

homozygous. one is homozygous, while two is heterozygous.