The domain of g(x) is all real numbers.
The domain of a function is the set of all possible input values for which the function produces a valid output.
Since the function g(x) is the reflection of f(x) across the y-axis, the domain of g(x) is the same as the domain of f(x).
The function f(x) = 6(0.25)x is an exponential function with a base of 0.25. Exponential functions with a base between 0 and 1 are always decreasing functions, which means that their domain is all real numbers.
Therefore, the domain of g(x) is all real numbers.
Question
The graph of f(x) = 6(0.25)x and its reflection across the y-axis, g(x), are shown.
On a coordinate plane, 2 exponential functions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y -axis at (0, 6). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 6).
What is the domain of g(x)?
all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers greater than or equal to 0