Answer:
(f/g)(x) = 5-x
Step-by-step explanation:
f(x)=25-x², g(x)=x+5
then (f/g)(x) = f(x) / g(x)
= 25-x² / x+5
[tex]=\frac{\left(5+x\right)\left(5-x\right)}{x+5}[/tex] ................simplify here
[tex]=\frac{\left(x+5\right)\left(5-x\right)}{x+5}[/tex] ................. (x+5) cancel outs
= 5-x ..............we have (5-x) left and this is the answer.
