Question

The graph of f(x) = 6(0.25)x and its reflection across the y-axis, g(x), are shown.

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

Answer 1

Answer:The domain of g(x) is all real numbers.

Explanation:

Answer 2

The domain of g(x) is all real numbers.

Solution-

The given function is,

`f(x)=6(0.25)^x`

The reflection across y-axis of a point (x, y) will be (-x, y)

So, the reflection of the given function across y-axis will be,

`g(x)=6(0.25)^(-x)`

It is an exponential function. The domain of exponential functions is all real numbers and the range is all real numbers greater than zero.

Therefore, first option is correct.