SOLUTION: Given that {{{ l(x)=2sqrt (x)-5 }}} and {{{ m(x)=sqrt (x)-4 }}}, determine the following combinations of functions in simplest form and fill in the blank spaces by stating the comb

Algebra ->  Functions -> SOLUTION: Given that {{{ l(x)=2sqrt (x)-5 }}} and {{{ m(x)=sqrt (x)-4 }}}, determine the following combinations of functions in simplest form and fill in the blank spaces by stating the comb      Log On


   

Question 951346: Given that +l%28x%29=2sqrt+%28x%29-5+ and +m%28x%29=sqrt+%28x%29-4+, determine the following combinations of functions in simplest form and fill in the blank spaces by stating the combined function's domain and range.
+%28l%2Bm%29%28x%29+
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
+l%28x%29=2sqrt+%28x%29-5+ and +m%28x%29=sqrt+%28x%29-4+, determine the following combinations of functions in simplest form and fill in the blank spaces by stating the combined function's domain and range.
+%28l%2Bm%29%28x%29+=2sqrt+%28x%29-5%2Bsqrt+%28x%29-4
+%28l%2Bm%29%28x%29+=3sqrt+%28x%29-9
+%28l%2Bm%29%28x%29+=3%28sqrt%28x%29-3%29

zeros:
+0=3%28sqrt%28x%29-3%29
+0=3sqrt+%28x%29-9
9=3sqrt+%28x%29
+9%2F3=sqrt+%28x%29
+3=sqrt+%28x%29
+x=9
domain :
{ x element R : x%3E=0 } (all non-negative real numbers)
range:
{ y element R : y%3E=-9 }

+graph%28+600%2C+600%2C+-5%2C+15%2C+-15%2C+15%2C+3%28sqrt%28x%29-3%29%29+


Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
You need to understand f%28x%29%2Bg%28x%29=%28f%2Bg%29%28x%29. Follow that definition using your functions.


3%2Asqrt%28x%29-9