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If f(x) = 14-3x, then dom(f) = ______.. -

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Question

If f(x) = `1/sqrt(4 - 3x)`, then dom(f) = ______..

Options

  • `"R" - {4/3}`

  • `(4/3, oo)`

  • `[4/3, oo)`

  • `(-oo, 4/3)`

MCQ
Fill in the Blanks

Solution

If f(x) = `1/sqrt(4 - 3x)`, then dom(f) = `(-oo, 4/3)`.

Explanation:

For Dom(f), 4 – 3x > 0

⇒ `4/3 > x`

Hence, Dr = `(-oo, 4/3)`

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