SOLUTION: Hello! My question is: find the domain of the function f(x)= (x^2-16)/7 I have tried to research how to figure this out, but I am unclear of the steps to find a solution. All

Algebra ->  Functions -> SOLUTION: Hello! My question is: find the domain of the function f(x)= (x^2-16)/7 I have tried to research how to figure this out, but I am unclear of the steps to find a solution. All       Log On


   

Question 1044858: Hello!
My question is: find the domain of the function f(x)= (x^2-16)/7
I have tried to research how to figure this out, but I am unclear of the steps to find a solution. All I know is that x apparently can be any rational number so it is infinite? I am unclear of the steps to figure this out. Thank you so much!
-Jamie M.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
recall:
All the values that go into a function are called the domain.
The output values are called the range.
Now, what comes out (the Range) depends on what we put in (the Domain).
Domain+→ Function → Range
the domain of the function f%28x%29=+%28x%5E2-16%29%2F7 is R (all real numbers); no matter what value you take for x you will always get value for f%28x%29, means function is defined

one more example if we have x in denominator:
The domain of f%28x%29=1%2Fx is all the Real Numbers R, except 0
1%2Fx is undefined at x=0 because 1%2F0 would be dividing by zero