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svet-max [94.6K]
3 years ago
5

If f(x)= -6x+6 then f^-1(x)=

Mathematics
1 answer:
drek231 [11]3 years ago
3 0
Recall that, to get the inverse relation of any expression, we start off by doing a quick switcharoo on the variables, then we solve for "y".

\bf \stackrel{f(x)}{y}=-6x+6\qquad inverse\implies \boxed{x}=-6\boxed{y}+6
\\\\\\
x-6=-6y\implies \cfrac{x-6}{-6}=y\implies -\cfrac{x}{6}+1=\stackrel{f^{-1}(x)}{y}
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Step-by-step explanation:

From the given information, you can construct a triangle, just like the one in the figure.

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Therefore,

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<em>θ = 100.8°</em>

<em></em>

Therefore, the angle between their paths is <em>100.8°</em>

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