Question

The domain of the function given below is the set of all real numbers.

F(x)=[1/2]^x
A.true
B.false​

Answer 1

A. true.

The function f(x) = (1/2)^x can take any real number as an input, and the output will always be a real number. Therefore, the domain of the function is the set of all real numbers (-∞, +∞).

Answer 2

• A) True

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The given function is
`f(x) = (1/2)^x.`

To determine whether its domain is the set of all real numbers, we need to examine the function and see if there are any restrictions on x.

In this case, the function is an exponential function with a base of 1/2. Exponential functions with a positive base are defined for all real numbers, as there are no restrictions on the exponent.

Therefore, the statement is true (option A).