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

Studdy Solution

STEP 1

Assumptions1. The function is $f(x)=- x^{}+3 x+3$ . We are asked to find the value of $f(-x)$

STEP 2

To find $f(-x)$ , we need to substitute $-x$ in place of $x$ in the function $f(x)$ .
So, $f(-x) = -2(-x)^{2} +(-x) +$

STEP 3

implify the equation by applying the power to $-x$ in the first term and multiplying $-x$ by3 in the second term.
$f(-x) = -2x^{2} -3x +3$

STEP 4

So, the value of $f(-x)$ when $f(x)=-2 x^{2}+3 x+3$ is $f(-x) = -2x^{2} -3x +3$ .

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