If fx-x2-2 and gx-2 x - Find f - gA- x2-2-2 x- x - 0B- x2-2-2 x- -2C- x2-2-2 x- x -2D- x2-2-2 x

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Property 4

If fx=x2-2 an...

Question

If f(x) = x² -2 and g(x) = 2x. Find f/g.

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f (x) = f_{1} (x) - 2 f_{2} (x)

f_{1} (x) = {\begin{matrix} min {x^{2}, | x |}, & | x | \leq 1 max {x^{2}, | x |}, & | x | > 1 \end{matrix}

f_{2} (x) = {\begin{matrix} min {x^{2}, | x |}, & | x | > 1 max {x^{2}, | x |}, & | x | \leq 1 \end{matrix}

g (x) = {\begin{matrix} min {f (t) : - 3 \leq t \leq x, - 3 \leq x < 0} max {f (t) : 0 \leq t \leq x, 0 \leq x \leq 3} \end{matrix}

x \in (- 1, 0)

f (x) + g (x)

The expresssion $x^{4} + 4$ can be factorized as

Subtract: 2 x^{2} + 6 - 4 x from 3 x^{2} - 6 x + 8.

(f \circ g) (- 2)

f (x) = 2 x + 1), g (x) = x^{2}

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