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VCE Maths questions help (2 Viewers)

InteGrand

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what's the difference between domain of R and R+
The former is all real numbers, the latter is only the positive ones (sometimes including 0, so you may need to check the convention used by the author).
 

boredsatan

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y = -√(16-x^2)
Is there a way to find the maximal domain and also the range by inspecting the equation?
 

boredsatan

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Could someone please explain how to do the bisection method in full detail, as I'm really confused how to do it
 

He-Mann

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Note that -3x + 5 > 0, which means x < 5/3.

Now exchange x and y,

x = √(-3y + 5), y < 5/3

x^2 = -3y + 5, y < 5/3

y = (5 - x^2)/3, y < 5/3

Therefore,

f^{-1}(x) = (5 - x^2)/3, and f^{-1}(x) < 5/3.
 

boredsatan

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find the angle that 3x-y=5 makes with the positive direction of the x axis
 

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