SOLUTION: what is the domain and range for the function {{{ f(x) = sqrt(x-3) + 2 }}}

Algebra ->  Functions -> SOLUTION: what is the domain and range for the function {{{ f(x) = sqrt(x-3) + 2 }}}      Log On


   

Question 694907: what is the domain and range for the function +f%28x%29+=+sqrt%28x-3%29+%2B+2+
Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29+=+sqrt%28x-3%29+%2B+2+
DOMAIN:
f(x) can take all values of x such that +x-3+%3E=+0+
so the domain is +x+%3E=+3+
RANGE:
+sqrt%28x-3%29+ has a minimum of 0 when x=3
so +sqrt%28x-3%29+%2B+2+ has a minimum of 2 when x=3
so the range is +f%28x%29%3E=2+, or +2%3C=f%28x%29%3Cinfinity+