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Let $f(x) = ext{arcsin}\,x$ - AQA - A-Level Maths Mechanics - Question 1 - 2019 - Paper 3

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Let-$f(x)-=--ext{arcsin}\,x$-AQA-A-Level Maths Mechanics-Question 1-2019-Paper 3.png

Let $f(x) = ext{arcsin}\,x$. State the maximum possible domain of $f$. Tick (✓) one box. $egin{cases} x ext{ } ig| ext{ } orall x ext{ } ext{ such that } ... show full transcript

Worked Solution & Example Answer:Let $f(x) = ext{arcsin}\,x$ - AQA - A-Level Maths Mechanics - Question 1 - 2019 - Paper 3

Step 1

State the maximum possible domain of f

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Answer

The maximum possible domain of the function f(x)=arcsin(x)f(x) = \text{arcsin}(x) is given by the constraint on the input of the arcsine function. The arcsin function is defined for values of xx such that:

1x1-1 \leq x \leq 1

Therefore, the correct option to tick is:

{xR:1x1}\{x \in \mathbb{R} : -1 \leq x \leq 1\}

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