Given: f(x)=1/x+5 and g(x)=x-2
What restrictions of the domain of f(g(x))?
a. x not equal to -5
b. x not equal to -3
c. x not equal to 2
d. There are no restrictions

x cannot be -3 or 2

Step-by-step explanation:

f(g(x)) = 1 / (( x-2) +5)

         = 1/ (x+3)

g(x) cannot have x=2

The domain is restricted where

f(x) has an restriction that x cannot be 5

so g(x) cannot be -5

-5 = x-2

Add 2 to each side

-5+2 = x

-3