What is the domain of the function \(f(x)=\dfrac{1}{\sqrt{x^2-1}}\) ?
- \([-1,1]\)
- \((-\infty,-1] \cup[1, \infty)\)
- \((-1,1)\)
- \((-\infty,-1) \cup(1, \infty)\)
Functions, 2ADV F1 2023 HSC 3 MC
What is the domain of `f(x)=1/sqrt{1-x}`?
- `x < 1`
- `x≤ 1`
- `x > 1`
- `x ≥ 1`
Functions, 2ADV F1 2020 HSC 1 MC
Which inequality gives the domain of `y = sqrt(2x-3)`?
- `x < 3/2`
- `x > 3/2`
- `x <= 3/2`
- `x >= 3/2`
Functions, 2ADV F1 SM-Bank 33
- State the domain and range of `y = -sqrt(12-x^2)`. (2 marks)
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- Sketch the graph. (1 mark)
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Show Answers Only
i. `text(Domain:)\ -sqrt12<=x<= sqrt12`
`text(Range:)\ -sqrt12<=y<= 0`
ii.
Show Worked Solution
i. `y = -sqrt(12-x^2)`
`text(Domain:)\ -sqrt12<=x<= sqrt12`
`text(Range:)\ -sqrt12<=y<= 0`
ii.
Functions, 2ADV F1 2017 HSC 11h
Find the domain of the function `f(x) = sqrt (3-x)`. (2 marks)
Functions, 2ADV F1 2010 HSC 1g
Let `f(x) = sqrt(x-8)`. What is the domain of `f(x)`? (1 mark)
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Functions, 2ADV F1 2013 HSC 3 MC
Which inequality defines the domain of the function `f(x) = 1/sqrt(x+3)` ?
- `x > -3`
- `x >= -3`
- `x < -3`
- `x <= -3`