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

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

Find the domain of
(f + g)(x).

Find
(f − g)(x).

Find the domain of
(f − g)(x).

Find
(fg)(x).

Find the domain of
(fg)(x).

Find
 f g
(x).

Find the domain of
 f g
(x).

Jun 30th, 2015

(f+g)(x) = SQRT (36) - x^2 + 1 - x

Domain:  All real numbers, unless the x^2 is part of the SQRT (did not specify) in which case x >= -6

(f-g)(x) = SQRT (36) - x^2 - 1 + x

Domain:  All real numbers, unless x^2 is part of SQRT in which case x>= -6

(fg)(x) = (SQRT (36) - x^2)(1 + x) = SQRT (36) + x SQRT (36) - x^2 - x^3

Domain: All real numbers, unless x^2 is part of SQRT in which case x>=-6

(f/g)(x) = (SQRT (36) - x^2)/(1+x)

Domain:  x can not equal -1, if x^2 is part of SQRT then x>= -6. otherwise, x not = 1 is the only restriction of domain.

Jun 30th, 2015

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Jun 30th, 2015
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Jun 30th, 2015
Nov 21st, 2017
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