SOLUTION: given that f(x)=x^2 and g(x)=sqr rt 5-x, find the following. a)f/g b)what is the domain of f/g

Algebra ->  Trigonometry-basics -> SOLUTION: given that f(x)=x^2 and g(x)=sqr rt 5-x, find the following. a)f/g b)what is the domain of f/g      Log On


   

Question 1139793: given that f(x)=x^2 and g(x)=sqr rt 5-x, find the following.
a)f/g
b)what is the domain of f/g
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E2 and
g%28x%29=sqrt%28+5-x%29
find the following.
a)
f%2Fg
f%2Fg=x%5E2%2Fsqrt%28+5-x%29

b)what is the domain of f%2Fg
since denominator cannot be equal to zero, exclude value of x that makes it equal to zero: in your case it is x=5
since denominator is sqrt%28+5-x%29, you are subtracting x from 5 and it means x could be only numbers that are less than 5
so, domain is:
{ x element R : x%3C5 }