2018bbenzenhafe
2018bbenzenhafe 2018bbenzenhafe
  • 27-08-2018
  • Mathematics
contestada

What is the domain of this function?

[tex] f(x)= \sqrt{2x-14} [/tex]

Please explain and answer in interval notation

Respuesta :

konrad509
konrad509 konrad509
  • 27-08-2018

[tex] 2x-14\geq0\\\\
2x\geq14\\\\
x\geq7\\\\
D_f:x\in\langle7,\infty) [/tex]

Answer Link
sqdancefan
sqdancefan sqdancefan
  • 27-08-2018

The square root function is only defined for non-negative arguments. So you must have

... 2x - 14 ≥ 0

... 2x ≥ 14

... x ≥ 7

In interval notation, x ∈ [7, ∞)

Answer Link

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