SOLUTION: Hey you guys! So I was absent yesterday and missed the notes. As I tried the homework, I realized I missed a lot. Can you help me solve for the domain please????? The textbook say

Algebra ->  Functions -> SOLUTION: Hey you guys! So I was absent yesterday and missed the notes. As I tried the homework, I realized I missed a lot. Can you help me solve for the domain please????? The textbook say      Log On


   



Question 674117: Hey you guys! So I was absent yesterday and missed the notes. As I tried the homework, I realized I missed a lot. Can you help me solve for the domain please?????
The textbook says:
Find the domain of the function
f(x)= 5x^2+2x-1

Found 2 solutions by jim_thompson5910, swincher4391:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The domain of any and every polynomial is ALWAYS the set of all real numbers since you can plug in any real number in for x and get some real number out for y or f(x).

Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
This answer is easy. This is just all reals. So, I think the more important thing is to understand what the domain is.
In simplest terms, the domain of a function is what values can x be so that f(x) is defined. Things that might make f(x) undefined are division by 0 or square root of a negative number. Notice that there are no square roots or divisions. By definition, anything of the form x^n + x^n-1... + c is called a polynomial.
For all polynomials, the domain is defined everywhere. e.g. all reals, (-infinity,infinity)
For all rationals f(x)/g(x), we want g(x) =/ 0.
For all square roots sqrt%28f%28x%29%29 we want f%28x%29+%3E=+0.
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Hope this helped!
-Devin