document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #60896 by scott8148(6628)\"\" \"About 
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\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "in your case, any x value greater than 8 results in the squareroot of a negative quantity (undefined)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so x can have any value from negative infinity, up to and including 8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );