SOLUTION: what is the domain of sqrt[5(5(x)^2-7)-6] ?? i tried (-inf,inf) because i considered it as a polynomial but i turned out to be wrong please help me!

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Question 901625: what is the domain of sqrt[5(5(x)^2-7)-6] ??
i tried (-inf,inf) because i considered it as a polynomial but i turned out to be wrong
please help me!

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
note that we do not want a square root of a negative number
we are given
sqrt[5(5(x)^2-7)-6] =
sqrt[5(5x^2 - 7) - 6] =
sqrt[ 25x^2 -35 - 6] =
sqrt[ 25x^2 - 41]
now 25x^2 > 41
x^2 > 41/25
x > sqrt(41)/5
the interval is (sqrt(41)/5, +infinity)