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Question 544820: find the domain of the function g(x)=10 over 6-5x
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Domain means "the set of all possible x values", so there are basically two things that are NOT allowed. If you have a fraction, the denominator must NEVER equal zero. If you have a square root, then the qunatity in the square root must be greater than or equal to zero.
Since this problem involves ONLY a fraction, the only restriction is that the DENOMINATOR must NOT equal zero. In this case,
6-5x must NOT equal zero.
Solve the equation 6-5x=0 to find out what values are NOT allowed.
6=5x
6/5=x
x must NOT equal 6/5. In other words, x CAN equal anything EXCEPT 6/5.
For a NON-traditional explanation of Functions, Domain and Range, please see my own website. Click on my tutor name anywhere in algebra.com. This takes you to the homepage of my website. Near the top of my homepage, look for "Basic, Intermediate, and College Algebra: One Step at a Time." Choose either Intermediate Algebra or College Algebra. In Intermediate Algebra, look in Chapter 5; in College Algebra, look in Chapter 2 for the topic Functions, Domain, and Range.
I also have FREE videos of me teaching this topic. Look for the link on my homepage called "Rapalje Videos in Living Color."
Since most of my career was spent teaching math IN COLOR, this became a major theme in my teaching career. In case you forget my name or can't remember how to spell it, an easy way to find my website is to go to the link www.mathinlivingcolor.com.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
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