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OpenStudy (anonymous):
log8 x 56
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OpenStudy (anonymous):
@SolomonZelman
OpenStudy (anonymous):
I mean all real numbers less than 0
OpenStudy (amistre64):
gonna have to clarify the function for us
OpenStudy (amistre64):
as is, it is bad at x=0
OpenStudy (amistre64):
the range of the function would be the domain of the inverse ...
solve the equation for x in terms of y and determine what y values are acceptable
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OpenStudy (anonymous):
the function is the numbers...
OpenStudy (amistre64):
y = -24/x^2 + 8
y-8 = -24/x^2
x^2 = -24/(y-8)
x = +- sqrt(-24/(y-8))
OpenStudy (amistre64):
so the domain of the inverse is such that:
-24/(y-8) > 0
and y-8 \(\ne\) 0
OpenStudy (anonymous):
All real numbers greater than or equal to -3 but less than 0 then......?
OpenStudy (freckles):
\[y=\frac{-24}{x^2}+8 \text{ or } y=\frac{-24}{x^2+8}\]
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OpenStudy (anonymous):
but that's not describing it....
OpenStudy (amistre64):
if y-8 < 0 then -24/-k > 0
assuming ive read it correctly :)
OpenStudy (freckles):
what you said earlier makes more sense for
\[y=\frac{-24}{x^2+8 } \text{ and not } y=\frac{-24}{x^2}+8\]
OpenStudy (freckles):
@KierseyClemons
ganeshie8 (ganeshie8):
y = -24/x^2 + 8 is NOT same as y = -24/(x^2+8)
you need to use parenthesis if your function is \(y = \dfrac{-24}{x^2+8}\)
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ganeshie8 (ganeshie8):
Notice that the function is always negative
so 0 is a natural upperbound for the function
ganeshie8 (ganeshie8):
|dw:1418766368915:dw|
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