Consider the following functions. f(x) = 36 − x2 , g(x) = 1 + x Find (f +
Algebra

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Consider the following functions.
36 − x^{2} 
1 + x 
Find the domain of
Find
Find the domain of
Find
Find the domain of
Find
f 
g 
Find the domain of
f 
g 
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it is the sqrt of 36
the question is not being posted properly
sorry it is the sqrt of 36x^2
f(x) = 36 − x^{2}
g(x) = (1+x)
Find
(f + g)(x) = − x^{2} +x + 37 ( Domain is set of all real numbers )
(f  g)(x) = − x^{2} x + 35 ( Domain is set of all real numbers )
(f * g)(x) = (36− x^{2} ) (x+1) ( Domain is set of all real numbers )
(f / g)(x) = (36 − x^{2} ) / (x+1) ( Domain is set of all real numbers except x = 1)
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in your last Question which one was correct
f(x) =sqrt ( 36 − x^{2 }) = Sqrt { (x+6)(x6)}
g(x) = (1+x)
Find
(f + g)(x) = sqrt ( 36 − x^{2 })+ (x+1) ; 36 − x^{2 }>=0 hence x^2 <= 36 or x < = +6 ; or x<6 & x>6
( Domain is set of all real numbers between [6 ,6]
(f  g)(x) = sqrt ( 36 − x^{2 })  (x+1) ( Domain is set of all real numbers between [6 ,6]
(f * g)(x) = sqrt ( 36 − x^{2 }) * (x+1) ( Domain is set of all real numbers between [6 ,6]
(f / g)(x) = sqrt (36 − x^{2} ) / (x+1) ( Domain is set of all real numbers between [6 ,1) U (1, 6]Secure Information
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