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Mathematics 20 Online
OpenStudy (anonymous):

log8 x 56

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

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):

\[y=\frac{-24}{x^2}+8 \text{ or } y=\frac{-24}{x^2+8}\]

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 \(y = \dfrac{-24}{x^2+8}\)

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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