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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

Verified Answer :

InesWalston

Answer-

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.




View image InesWalston
blakewebb39

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

Step-by-step explanation:

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