SOLUTION: find the domain of the function f(x)= (x^2-16)/7

Algebra ->  Functions -> SOLUTION: find the domain of the function f(x)= (x^2-16)/7       Log On


   

Question 1044898: find the domain of the function f(x)= (x^2-16)/7
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The minimum point for f occurs in the x value the exact MIDDLE of x=-4 and x=4, meaning at x=0. What is the corresponding y-coordinate?

f has vertex as a minimum, opens upward, and so all y-values are greater than or equal to f%280%29 or y%3E=%280%5E2-16%29%2F7.

graph%28300%2C300%2C-6%2C6%2C-6%2C6%2C%281%2F7%29%28x%5E2-16%29%29


--
correction to range inequality was made, so graph should be reliable now.


---
I had discussed RANGE, but original question was about DOMAIN. What is the set of possible acceptable values for x? ALL REAL NUMBERS is this set. All real numbers -infinity%3Cx%3Cinfinity.

Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
The domain is the set of all real numbers.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

find the domain of the function f(x)= (x^2-16)/7 
I answered this in: Functions/1044866:

Why do you ask this, AGAIN?

DO you really think it's fair to deprive others of help by posting your problem more than once, after getting your answer? 

I wonder what you think!