What are the domain and range of f of x is equal to 1 fifth to the x th power ?

The function is f(x) = (1/5)^x. Any real number can be used as the exponent, so the domain is all real numbers. An exponential expression with a positive base is always positive, and as x varies over all real numbers, (1/5)^x can take every positive value; it never equals zero. Therefore, the range is all real numbers greater than zero, as stated in choice A.

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