X^2 - 25/2 AND 37/K^2-K-30 I really need help with these two problems.?

Question

•Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero.

•Find the domain for each of your two rational expressions.

•Write the domain of each rational expression in set notation (as demonstrated in the example).

•Do both of your rational expressions have excluded values in their domains? If yes, explain why they are to be excluded from the domains. If no, explain why no exclusions are necessary.

•Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):

◦Domain
◦Excluded value
◦Set
◦Factor
◦Real numbers

Answer 1

division by zero is not defined. What is 12/0? 0/0?

So, for a rational function, the domain excludes any values where the denominator is zero, because the domain is the set of values of x for which f(x) is defined.

For f(x) = (x^2 - 25)/2 the domain is all real numbers; there is no value of x which does not define a value for f(x).

In fact, the domain of all polynomial functions is the same: all real numbers.

For f(k) = 37/(k^2-k-30) we have to watch out for a zero denominator. Since
k^2-k-30 = (k-6)(k+5), the domain excludes the values -5 and 6.

Answer 2

Thank you Steve so vey much.You were a big help to me.

Answer 3

16t^2 – 1/64