find domain of f(x)=6x-14 / sqrt-18x-81 + x

Given problem:  f(x)= 6x-14 divided by sqrt -18x-81+x  Thank you
in Algebra 2 Answers by Level 1 User (780 points)

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1 Answer

f(x) =6x  - 14/sqrt( -18x - 81 + x )

sqrt( -18x -81 + x ) > 0 ⇒  -18x -81 + x  > 0

- 17x - 81 > 0

- 17x > 81

-17x/-17 < 81/-17

x< - 81/17 ⇒ x < 4and13/17

domain  < 4and13/17
by Level 8 User (36.8k points)
Thank you so much- this is greatly appreciated.  I had come up with nothing like this answer.
by Level 1 User (780 points)

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