SOLUTION: Find the domain and range of the functions below: f(x) = 6/ x+4 g(x) = square root of 1-x(squared)

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Question 177961: Find the domain and range of the functions below:
f(x) = 6/ x+4
g(x) = square root of 1-x(squared)
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=6%2Fx%2B4
:
the domain is all real numbers except -4 (x+4=0--->x=-4)this would make the function undefined. The range woud be all real numbers except zero. there is no value of x that will produce zero.
:
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C6%2F%28x-4%29%29
:
g%28x%29=sqrt%281-x%5E2%29 so 1-x%5E2%3E=0 so -x%5E2%3E=-1x%5E2%3C=1
:
domain -1%3C=x%3C=1 range is 0%3C=g%28x%29%3C=1
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Csqrt%281-x%5E2%29%29