What is the domain of f/g, given f(x)=x+8 and g(x)=x-3?
2 answers:
ANSWER

EXPLANATION
The given functions are

and

The function,

This implies that,

The domain of this rational function refers to all values of x for which

is defined.
This function is defined if the denominator


In interval form, we write this as,

The correct answer is C.
Answer: Correct Option is "C"
( - ∞ , 3) U (3, ∞ )
Step-by-step explanation:
The function f/g is defined as
( x + 8) / (x -3)
Domain of the function is the set of values which the independent variable can assume.
Clearly in the above function x cannot assume the value 3, otherwise the function would become undefined.
So domain of the function is
( - ∞ , 3) U (3, ∞ )
Hope it helps.
Thank you.
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