Find the domain of the function. (Enter your answer using interval notation.)

label Algebra
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f(x) = 

SQRT
x
 +SQRT 
7 − x

g(x) = 

SQRT
x + 8
 − 
1
x

f(x) = 

SQRT
x
 +SQRT 
7 − x
Oct 18th, 2017

Please note that considering the function f(x), I can say that the radicands exist if and only if x >=0 and 7-x >=0

so the domain of f(x) is:

[0, 7], where  x=0 and x= 7 are included into the domain


case g(x)

here we note that the radicand exist if and only if x+8 >=0, furthermore has to be xdifferent from zero, so the domain of g(x) is:

[-8  , 0) union (0, +infinity), here -8 is included into the domain

Feb 23rd, 2015

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