Answer:
A is the answer. ( -5 , 3 ) ∪ ( 3 , ∞ )
Step-by-step explanation:
given f(x) = [tex]\frac{1}{x-3}[/tex] , g(x) = √x+5
asked to find fg(x)
f(√x+5)
√[tex]\frac{1}{x-3}[/tex]+5
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x>3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(3,\:\infty \:\right)\end{bmatrix}[/tex]
