You are here:

# Algebra/Algebra question

Question
True or false?

The domain of the function F(x)=(1/2)^x is the set of all real numbers greater than one.

FALSE
The domain is all of the values of x that can be put in.
Since x is used as what to take a value to, it can be any number.

Some examples:
F(3) = (1/2)^3 = 1/8,
F(-2) = (1/2)^-2 = 2^2 = 4,
F(0) = (1/2)^0 = 1,
F(1/2) = (1/2)^(1/2) = 1/squareroot(2), and
F(-30) = (1/2)^-30 = 2^30 = 1,073,741,824.

I don't believe you're working with imaginary numbers yet ...
As can be seen, anything can be put in for x.
Questioner's Rating
 Rating(1-10) Knowledgeability = 10 Clarity of Response = 10 Politeness = 10 Comment No Comment

Algebra

Volunteer

#### Scott A Wilson

##### Expertise

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

##### Experience

I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

Publications
Documents at Boeing in assistance on the manufacturiing floor.

Education/Credentials
MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

Awards and Honors
Both my BS and MS degrees were given with honors.

Past/Present Clients
Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.