Question

Given

Answer 1

Answer:

$\boxed{\tt \: f( - 6) = 4}$

Step-by-step explanation:

Given polynomial :-

$\sf \: f(x) = - x - 2$

To Find :-

$\sf \: f( - 6)$

Solution :-

$\sf \implies \: f(x) = - x - 2$

$\underline{ \rm \: Substitute \: the \: value \: of \: x \: that \: is \: 6 \: i nstead \: of \: x \: on \: the \: LHS \: and \: RHS \: of \: the \: given \: equation :-}$

That is ,

$\sf \implies \: f( - 6) = - ( - 6) - 2$

$\underline{ \rm \: Simplify \: the \: RHS \: on \: t he \: given \: equation :-}$

As we know that "-" and "-" equals to "+". So "-(-6)" would be represented as +6 (6).

$\sf \implies \: f( - 6) = + 6 - 2$

Subtract 6 and 2 :-

$\sf \implies \: f( - 6) = 6 - 2$

$\sf \implies \: f( - 6) = 4$

This can't be simplified more . Hence ,

$\rm \: The \: value \: of \: f(-6) \: would \: be \: \boxed{ \bf 4} \rm .$

$\rule{175pt}{2pt}$

I hope this helps!