Vertical asymptote: x = 3
Horizontal asymptote: fx = 2
The domain of f(x) is all real numbers except 3.
The range of f(x) is all real numbers except 2.
The domain of f(x) i.e. the values that we give as input to the function and there is a value of f(x) defined for it. Hence, the domain of f(x) is all real numbers except 3.
The root will be:
0 = 1/(x - 3) + 2.
2x= 7
x = 7/2 = 3.5
The range of f(x) is all real numbers except 2. The vertical asymptote will be:
x - 3 = 0
x = 0 + 3
x = 3
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