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Pls help this is prettty urgent

Pls help this is prettty urgent-example-1
User Vmpstr
by
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1 Answer

1 vote

Answer: See explanation

Explanation:

3. a. Make a table and plug in 5 x values ranging from -3 to -1.

(x^2-4)/(x^2+5x+6)=

(x-2)(x+2)/(x^2+2x+3x+6)=

(x-2)(x+2)/(x(x+2)+3(x+2))=

(x-2)(x+2)/((x+3)(x+2))=(x-2)/(x+3)

(-2-2)/(-2+3)=

-4/1=-4

b.x->
-3^(-): (
-3^(-)-2)/(
-3^(-)+3)=

-5/(-0.000..1)=

5/(0.000...1)=

x->
-3^(+):(
-3^(+)-2)/(
-3^(+)+3)=

-5/(0.000...1)= -∞

c. When you simplify g(x) to (x-2)/(x+3), x=-2 is valid, but x=-3 would make the denominator equal to 0 which is illegal.

User Vinay Prabhakaran
by
8.1k points

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