Respuesta :
Answer:
The domain is all real numbers except x = 2
Step-by-step explanation:
f(x) / g(x) = (x+1)-1 x
-------------- = --------------------
x-2 x-2
The domain is limited by the denominator. It cannot be zero
x-2 ≠ 0
Add 2 to each side
x-2+2 ≠ 0+2
x ≠2
X is all real numbers except 2
Answer:
The domain of the f(x) ÷ g(x) is all real numbers except 2.
Step-by-step explanation:
We have given two functions.
f(x) = (x+1)-1and g(x) = x-2
We have to find the domain of f(x)÷g(x).
f(x) ÷ g(x) = (x+1)-1 ÷ x-2
f(x) ÷ g(x) = x+1-1 ÷x-2
f(x) ÷ g(x) = x ÷ x-2
Hence, x-2 ≠ 0
x ≠ 2
The domain of the f(x) ÷ g(x) is all real numbers except 2.