Consider the following function.

$f(5)=19,f^{\text{'}}(5)=5\mathrm{.}4$;$x=5\mathrm{.}5$

$($a$)$ Write a linearization for $f$ with respect to $x.$

$f_L(x)=$

$($b$)$ Use the linearization to estimate $f$ at the given input.

$f_L(5\mathrm{.}5)=$

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