Given the function f(x)=-x-(1)/(6)x^(2), then what is f(-3x) as a simplified polynomial? Answer:

Understand function transformation: Understand the function transformation. We need to find f(-3x) using the given function f(x) = -x - (1/6)x^2. This means we will substitute -3x for every x in the function f(x).Substitute into function: Substitute -3x into the function. f(-3x) = -(-3x) - (1/6)(-3x)^2Simplify expression: Simplify the expression. f(-3x) = 3x - (1/6)(9x^2) f(-3x) = 3x - (9/6)x^2 f(-3x) = 3x - (3/2)x^2Write final polynomial: Write the final simplified polynomial. f(-3x) = - (3/2)x^2 + 3x

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Given the function
f(x)=-x-(1)/(6)x^(2), then what is
f(-3x) as a simplified polynomial?
Answer:

Given the function $f(x)=-x-\frac{1}{6} x^{2}$ , then what is $f(-3 x)$ as a simplified polynomial? $\newline$ Answer:

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Algebra 2

Composition of linear and quadratic functions: find an equation

Full solution

Q. Given the function

f(x)=-x-\frac{1}{6} x^{2}

, then what is

f(-3 x)

as a simplified polynomial?

\newline

Answer:

Understand function transformation: Understand the function transformation. $\newline$ We need to find $f(-3x)$ using the given function $f(x) = -x - \frac{1}{6}x^2$ . This means we will substitute $-3x$ for every $x$ in the function $f(x)$ .
Substitute into function: Substitute $-3x$ into the function. $\newline$ $f(-3x) = -(-3x) - (\frac{1}{6})(-3x)^2$
Simplify expression: Simplify the expression. $\newline$ $f(-3x) = 3x - \frac{1}{6}(9x^2)$ $\newline$ $f(-3x) = 3x - \frac{9}{6}x^2$ $\newline$ $f(-3x) = 3x - \frac{3}{2}x^2$
Write final polynomial: Write the final simplified polynomial. $f(-3x) = - \frac{3}{2}x^2 + 3x$