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Free_Kalibri [48]
3 years ago
8

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

Mathematics
2 answers:
Mademuasel [1]3 years ago
8 0
ANSWER
( -  \infty ,3 ) \cup (3, \infty )


EXPLANATION

The given functions are
f(x) =   x + 8

and

g(x) = x - 3

The function,

\frac{f}{g}  =  \frac{f(x)}{g(x)}


This implies that,

\frac{f}{g}  =  \frac{x + 8}{x - 3}

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

\frac{f}{g}  =  \frac{x + 8}{x - 3}
is defined.


This function is defined if the denominator
x  - 3\ne0


x \ne3


In interval form, we write this as,

( -  \infty ,3 ) \cup (3, \infty )


The correct answer is C.
abruzzese [7]3 years ago
5 0

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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