SOLUTION: (3) Suppose h is a function that takes a real number x and performs the following three steps in the order given: (1) square root; (2) make the quantity the denominator of a fracti

Algebra ->  Functions -> SOLUTION: (3) Suppose h is a function that takes a real number x and performs the following three steps in the order given: (1) square root; (2) make the quantity the denominator of a fracti      Log On


   

Question 667867: (3) Suppose h is a function that takes a real number x and performs the following three steps in the order given: (1) square root; (2) make the quantity the denominator of a fraction with numerator 2; (3) subtract 9. Find an expression for
h(x)
and find its domain.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
h(x) = 4%2F%28sqrt%28x%29+-+13%29
...
Denominator cannot be zero nor should there be a negative square root, so
Domain is all real numbers where
x > 0 and x+%3C%3E+169
(0, 168) and (170, oo)
...
sqrt%28x%29+-+13+=+0
sqrt%28x%29+=+13
sqrt%28x%29%5E2+=+13%5E2
x+=+13%5E2+=+169
...
.....................
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