A function g is defined by g:x→3−2sinx,for 0◦ ≤x≤A◦,where A is a constant.

1 answer:

Crank3 years ago

6 0

<span>hmmm: g maps x onto 3-2sin(x) for all x from 0 to A degrees g(x) = 3-2sin(x) the inverse would have to be arcsin (3-x)/2, which only has a radian output between -pi and pi i believe. but this is just from memory</span>

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m_a_m_a [10]

For a function (fn) to be odd:
f(x) = - f(-x)
For a fn to be even:
f(x) = f(-x)
For a fn to be neither even nor odd
f(x) != f(-x) [No Relation]

(-x)^n = x^n for n -> even
(-x)^n = -x^n for n -> odd
In your example:

f(x) = -4x^3 + 4x
f(-x) = -4 (-x)^3 + 4 (-x)^1 ( 3 and 1 are odd powers )
f(-x) = 4x^3 - 4x (take -1 common to do the check)
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f(x) = - f(-x)
so the function is odd also called symmetric about the origin

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olga_2 [115]

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Step-by-step explanation:

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Step-by-step explanation:

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