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QveST [7]
3 years ago
13

[09.01]

Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Answer:

Left 4 units.

Step-by-step explanation:

g(x) = x^2 + 8x + 16    Factoring:

g(x) = (x + 4)^2.

So to  obtain g(x) from f(x) = x^2,  f(x)  must be shifted 4 units to the left.

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well

\bf f(x)=\cfrac{-x}{x^2+5}
\\\\\\
\cfrac{df}{dx}=\cfrac{(x^2+5)+2x^2}{(x^2+5)^2}\implies \cfrac{df}{dx}=\cfrac{5+3x^2}{(x^2+5)^2}\impliedby 
\begin{array}{llll}
using\ the\\
quotient\ rule
\end{array}

like the previous posting, since this rational is identical, just that the denominator is negative, the denominator yields no critical points

and the numerator, yields no critical points either, so the only check you can do is for the endpoints, of 0 and 4

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f(4) ≈ - 0.19  <----  only minimum, and thus absolute minimum
5 0
3 years ago
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Edge 2020

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