Question

The graph of f(x) = is reflected across the y-axis to create the graph of function g. How do the domains of f and g compare? The domains of f and g are both x ≥ 0. The domains of f and g are both all real numbers. The domain of f is x ≥ 0, while the domain of g is x ≤ 0. The domain of f is x ≤ 0, while the domain of g is x ≥ 0.

Answer 1

The notation x ≥ 0 means that a is greater than or equal to x (or, equivalently, not less than x, or at least x),; "not less than" can also be represented by the symbol for "less than" bisected by a vertical line, "not."

Answer 2

The domain of f is x ≥ 0, while the domain of g is x ≤ 0

Explanation:

Given that f(x) is reflected across the y-axis to create the graph of function g.

i.e. f is reflected on the line x=0

Hence x will become -x in g.

When domain of f is x>=0 the domain of g can only be x less than or equal to 0.

Hence answer is option c

The domain of f is x ≥ 0, while the domain of g is x ≤ 0