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Functions, 2ADV 2021 HSC 3 MC

Which of the following represents the domain of the function  `f(x)=ln(1-x)`?

  1. `[1,oo)`
  2. `(1, oo)`
  3. `(–oo, 1]`
  4. `(–oo, 1)`
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`D`

Show Worked Solution

Mean mark 52%!
`1-x` `>0`
`x` `<1`

 
`x ∈ (–oo, 1)`

`=>  D`

Filed Under: Graph Transformations (Adv-2027), Graphs and Applications (Y11) Tagged With: Band 4, smc-6408-20-Log/Exp, smc-6408-65-Find Domain/Range, smc-966-40-Log graphs

Functions, 2ADV 2019 HSC 1 MC

What is the domain of the function  `f(x) = ln(4-x)`?

  1. `x < 4`
  2. `x <= 4`
  3. `x > 4`
  4. `x >= 4`
Show Answers Only

`A`

Show Worked Solution
`4-x` `> 0`
`-x` `> -4`
`x` `< 4`

 
`=>  A`

Filed Under: Graph Transformations (Adv-2027), Graphs and Applications (Y11) Tagged With: Band 3, smc-6408-20-Log/Exp, smc-6408-65-Find Domain/Range, smc-966-40-Log graphs

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