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Please help, 50 points!!! If f(x)=25-x^2 and g(x)=x+5 what is (f/g)(x)? Write your awnser in simpilest form. When f(x):=25-x^2 and g(x)=x+5, (f/g)(x)= ???????
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Answer:

(f/g)(x) = 5-x

Step-by-step explanation:

f(x)=25-x², g(x)=x+5

then (f/g)(x) = f(x) / g(x)

= 25-x² / x+5

[tex]=\frac{\left(5+x\right)\left(5-x\right)}{x+5}[/tex]    ................simplify here

[tex]=\frac{\left(x+5\right)\left(5-x\right)}{x+5}[/tex] ................. (x+5) cancel outs

= 5-x          ..............we have (5-x) left and this is the answer.

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