SOLUTION: Please show work Let f(x)= sqrt(x+5) and g(x)=x−3. (a) Find ((f)/(g))(− 4) . Show work. (b) Find the domain of the quotient function f . Explain.

Algebra ->  Functions -> SOLUTION: Please show work Let f(x)= sqrt(x+5) and g(x)=x−3. (a) Find ((f)/(g))(− 4) . Show work. (b) Find the domain of the quotient function f . Explain.      Log On


   

Question 1023487: Please show work

Let f(x)= sqrt(x+5) and g(x)=x−3.
(a) Find ((f)/(g))(− 4) . Show work.
(b) Find the domain of the quotient function f . Explain.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28-4%29=sqrt%28-4%2B5%29=sqrt%281%29=1
g%28-4%29=-4-3=-7
So when x=-4,
f%2Fg=1%2F%28-7%29=-%281%2F7%29
.
.
.
The square root requires non-negative operands,
x%2B5%3E=0
x%3E=-5
So the domain of f is [-5,infinity).