document.write( "Question 775094: State the domain and range of this:\r
\n" ); document.write( "\n" ); document.write( "f(x) = square root of (radical) 4-x
\n" ); document.write( "

Algebra.Com's Answer #473002 by tanjo3(60)\"\" \"About 
You can put this solution on YOUR website!
(1) The base function of f(x) = √(4-x) is the function g(x) = √x. The domain of this function is {x ∈ R: x ≥ 0}.
\n" ); document.write( "
\n" ); document.write( "(2) The function h(x) = √(4+x) indicates a translation of the base function, g(x), four units to the left. Therefore, the domain of h(x) is {x ∈ R: x ≥ -4}.
\n" ); document.write( "
\n" ); document.write( "(3) The original function f(x) = √(4-x) indicates a reflection along the y-axis. Therefore, the domain of f(x) is {x ∈ R: x ≤ 4}.
\n" ); document.write( "
\n" );