QuestionCalculate $-f(x)$ for the function $f(x)=-2 x^{2}-3 x-1$ .

Studdy Solution

STEP 1

Assumptions1. The function is given as $f(x)=- x^{}-3 x-1$

STEP 2

We are asked to find the value of $-f(x)$ . This means we need to negate the entire function $f(x)$ .
$-f(x) = -(-2 x^{2}- x-1)$

STEP 3

Now, distribute the negative sign to each term in the function.
$-f(x) = -(-2 x^{2}) - (-3 x) - (-1)$

STEP 4

implify each term.
$-f(x) =2 x^{2} +3 x +1$ The value of $-f(x)$ when $f(x)=-2 x^{2}-3 x-1$ is $2 x^{2} +3 x +1$ .

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