Question

G(x)=4x^2+3 is the function g even odd or neither? prove it

Answer 1

Even

Explanation:

A function is called even if, for all values of x, f(-x) = f(x).

A function is called odd if, for all values of x, f(-x) = -f(x).

If none of these equalities is satisfied, the function is neither even nor odd.

In this question:

g(x) = 4x² + 3

g(-x) = 4(-x)² + 3 = 4x² + 3

Since g(-x) = g(x), the function g is even.