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

label Algebra
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SQRT
x + 4
x − 3

 


h(x) = (x − 7)−1/4

g(x) = 

SQRTx + 8
 − 
1
x
Feb 23rd, 2015

case f(x) = sqrt(x+4) / (x-3)

here we have:

x+4 >= 0 existence of the radical, and x-3 different from zero (division by zero is not admitted)

so the domain of f(x) is:

[-4, -3) union (-3, +infinity)


case h(x)

here we have to rquire that:

x-7 >0 only so the domain of g(x) is:

(7 , +infinity)


case g(x)

g(x) = sqrt(x+8) - 1/x

here we require:

x+8 >=0 and x different from zero, so the domain of our function is:

[-8 , 0 ) union (0 , +infinity)

Feb 23rd, 2015

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Feb 23rd, 2015
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Feb 23rd, 2015
Jun 25th, 2017
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