Let f x - - x-1 -a- x- 1 2x-3- x- 1 - If fx has local minimum at x-1 and a- 5 then a is equal to

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Singular and Non Singualar Matrices

Let f x = |...

Question

Let $f (x) = {\begin{matrix} | x - 1 | + a, & x \leq 1 2 x + 3, & x > 1 \end{matrix}$ If $f (x)$ has local minimum at $x = 1$ and $a \geq 5$ then $a$ is equal to

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f (x) = {\begin{matrix} \begin{matrix} 1 - x + a, & x \leq 1 \end{matrix} \begin{matrix} 2 x + 3, & x > 1 \end{matrix} \end{matrix}

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f (x) = {\begin{matrix} | x - 2 | + a, & x \leq 2 3 x - 1, & x > 2 \end{matrix}

x = 2

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f (- 1) = 10, f (1) = 6, f (x)

x = - 1

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f : R \to R

f (x) = {\begin{matrix} k - 2 x, i f x \leq - 1 2 x + 3, i f x > - 1 \end{matrix}

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x = - 1

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