SOLUTION: For f(x)=2x/x-2 answer the following questions. 4. What is the domain of f?

Algebra.Com
Question 1127142: For f(x)=2x/x-2 answer the following questions.
4. What is the domain of f?

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The domain of a function is the set of values of x for which the function can be evaluated.

For a rational function like this (a fraction with variables in the numerator and denominator), the domain is all values EXCEPT any that make the denominator 0, because division by 0 is not allowed.

For this function, the only value that makes the denominator 0 is x=2, so the domain of the function is all real numbers except 2.

In algebraic notation:

In interval notation: (-infinity, 2) U (2, infinity)

RELATED QUESTIONS

For f(x)=2x/x-2 answer the following questions. 3. If f(x)=3, what is... (answered by greenestamps,josgarithmetic)
For f(x)=2x/x-2 answer the following questions. 1. Is the point (3,6) on the graph of f? (answered by josgarithmetic,ikleyn)
what is the domain of the following function?... (answered by chessace)
For f(x)=2x/x-2 answer the following questions. 2. For x=-2, what is f(x)? What are the... (answered by MathLover1)
3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)
what is the domain of... (answered by stanbon)
What is the domain of the following quadratic function? f(x)=2x^2+5x-7? (answered by KMST)
what is the domain of f?... (answered by josmiceli)
ANSWER THE QUESTION. For f(x)=2x-5 and g(x)= Square Root x+2, What is the domain of... (answered by oscargut)