SOLUTION: Let f(x) = √x−1 and g(x) = x − 7. (a) Find (f/g)(5) (Show work). (b) Find the domain of the quotient function f/g. (Explain).

Algebra ->  Finance -> SOLUTION: Let f(x) = √x−1 and g(x) = x − 7. (a) Find (f/g)(5) (Show work). (b) Find the domain of the quotient function f/g. (Explain).      Log On


   

Question 1136377: Let f(x) = √x−1 and g(x) = x − 7.
(a) Find (f/g)(5) (Show work).
(b) Find the domain of the quotient function f/g. (Explain).
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
expr%28f%2Fg%29%28x%29=%22f%28x%29%22%2F%22g%28x%29%22=sqrt%28x-1%29%2F%28x-7%29

To find domains, denominators must not be 0 and square roots may not
be taken of negative numbers.

So denominator x-7%3C%3E0
               x%3C%3E7

And what's under the square root x-1%3E=0
                                 x%3E=1

-------------●=================○============>
-3 -2 -1  0  1  2  3  4  5  6  7  8  9 10 11 

Domain = [1,7)U(7,∞) 

Edwin