Functions f(x) and g(x) are given:

Which statement about f(x) and g(x) are true?

A.) f(x) > g(x) for all values of x

B.) g(x) > f(x) for all values of x

C.) f(x) > g(x) for all values of x, where x > 2

D.) g(x) > f(x) for all values of x, where x > 2

A.) f(x) > g(x) for all values of x

B.) g(x) > f(x) for all values of x

C.) f(x) > g(x) for all values of x, where x > 2

D.) g(x) > f(x) for all values of x, where x > 2

**C.) f(x) > g(x) for all values of x, where x > 2**

If x is 1, then f(x) = g(x)

and

If x is 2, then f(x) = g(x)

and

If x is 3, then f(x) > g(x)

In the graph,

f(x) is the red graph

g(x) is the blue graph

You see that when x = 1 and x = 2, the graphs are intersecting.

However, when x is greater than 2, the value of f(x) is greater than the value of g(x).

The value of a function is the y-value at for any particular x-value.