What is the domain of f(x)=(1/2)^x
o a. x< 0
b. all real numbers
c. x> 0
o d. y> 0

B.  All real numbers

Step-by-step explanation:

Given:

The function is given as:

Domain is the input to a function represented by the values of 'x'. The domain defined a function's output which is also called as the range of the function.

The above function is an example of an exponential function. An exponential function is of the form:

Where, 'a' is any number greater than 0.

Here,

The domain of an exponential function is not restricted and includes all real values. But, the range of an exponential function is always a positive number.

Hence, the domain of the given exponential function is not restricted and include all real numbers. So, option B is correct.

A graph of an exponential function is attached to support the answer.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.