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find the domain of the function f/g(x) given f(x)=x^2+2x-8 and g(x)=x^2-16

Find The Domain Of The Function Fgx Given Fxx22x8 And Gxx216 class=

Sagot :

Answer:

C) [tex]\{x|x\neq-4 \:or \:4\}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+2x-8}{x^2-16}\\ \\\frac{(x+4)(x-2)}{(x+4)(x-4)}\\ \\x\neq-4 \:or \:4[/tex]

Here, [tex]x\neq-4[/tex] is a hole on the graph since [tex]x+4[/tex] exists in both the numerator and denominator.

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