Verified Answer :

-4 × 0^2 = 0
7 + 0 = 7

Answer:  The required value of the expression at x = 0 is 7.

Step-by-step explanation:  We are given to evaluate the following expression for x = 0.

\(g(x)=7+(-4x^2)~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)

To evaluate, we must substitute x = 0 in the given expression.

So, putting x = 0 in equation (i), we get

\(g(x)\\\\=7+(-4x^2)\\\\=7-4x^2\\\\=7-4\times 0^2\\\\=7-0\\\\=7.\)

Thus, the required value of the expression at x = 0 is 7.