SOLUTION: Consider two functions, f and g, given by: {{{ f(x)= sqrt ( x-1 ) }}} and {{{ g(x)= sqrt ( 3-x )}}} Find the domain of f/g

Algebra ->  Rational-functions -> SOLUTION: Consider two functions, f and g, given by: {{{ f(x)= sqrt ( x-1 ) }}} and {{{ g(x)= sqrt ( 3-x )}}} Find the domain of f/g      Log On


   



Question 287895: Consider two functions, f and g, given by: +f%28x%29=+sqrt+%28+x-1+%29+ and +g%28x%29=+sqrt+%28+3-x+%29
Find the domain of f/g

Found 2 solutions by jim_thompson5910, CharlesG2:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Since you cannot divide by zero, look for any values that make the denominator sqrt%283-x%29 equal to zero. This value (or these values) will be excluded from the domain. In addition, don't forget to consider the domain of the individual functions f and g.

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
Consider two functions, f and g, given by: +f%28x%29=+sqrt+%28+x-1+%29+ and +g%28x%29=+sqrt+%28+3-x+%29
Find the domain of f/g
+sqrt%28x+-+1%29+%2F+sqrt%283+-+x%29+
+x+%3C%3E+3+
and +x+%3E=+1+
and +x+%3C+3+
so +1+%3C=+x+%3C+3+