SOLUTION: I'm not sure I fully understand how to find the domain of a function. The problem I'm specifically having a hard time with is f(x)= (sq. root of -x+8)+2. The answer key says the

Algebra ->  Functions -> SOLUTION: I'm not sure I fully understand how to find the domain of a function. The problem I'm specifically having a hard time with is f(x)= (sq. root of -x+8)+2. The answer key says the       Log On


   

Question 84534: I'm not sure I fully understand how to find the domain of a function. The problem I'm specifically having a hard time with is f(x)= (sq. root of -x+8)+2. The answer key says the domain is (-∞,8), but I'm not sure why. It says I'm not supposed to use a calculator.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the domain of a function is the "allowable" values of x ... this means any value that does NOT cause an undefined result

in your case, any x value greater than 8 results in the squareroot of a negative quantity (undefined)

so x can have any value from negative infinity, up to and including 8