find the domain and range of f(x) = 2 square root of x-2

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17-07-2016
Mathematics

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find the domain and range of f(x) = 2 square root of x-2

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dalendrk dalendrk · Answer 1 · 2016-07-23T10:48:33+02:00

dalendrk dalendrk

23-07-2016

[tex]f(x)=2\sqrt{x-2}\\\\The\ domain:\\x-2\geq0\to x\geq2\\\boxed{x\in[2;\ \infty)}\\\\The\ range:\\\boxed{y\in[0;\ \infty)}[/tex]

[tex]If\ f(x)=2\sqrt{x}-2,\ then\\\\The\ domain:\boxed{x\in[0;\ \infty)}\\\\The\ range:\boxed{y\in[-2;\ \infty)}[/tex]

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