SOLUTION: f(x)= √x; g(x)=4x-5 Find f/g. (f/g)(x)= Domain=

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Question 972019: f(x)= √x; g(x)=4x-5
Find f/g.
(f/g)(x)=
Domain=
Found 2 solutions by josgarithmetic, farohw:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The first step is substitution. Simplify.

Answer by farohw(175) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,

Since (f/g)(x) = f(x)/g(x)

then sqrt%28x%29%2F%284x-5%29

To find the domain:

sqrt%28x%29%3E=0 is x%3E=0

and 4x-5+%3E=+0 is x+%3E=+5%2F4. Since sqrt%28x%29%2F%284x-5%29 is a rational function, the denominator cannot equal zero. So it must be avoided.

Therefore, or where x does not equal 5/4.