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

Substitute x+2: Substitute x+2 into the function f(x). We are given f(x) = -(3)/(2) - x^2 and we want to find f(x+2). This means we need to replace every instance of x in the function with x+2. f(x+2) = -(3)/(2) - (x+2)^2Expand square term: Expand the square term in the expression. We need to square the binomial (x+2) to continue simplifying the expression. f(x+2) = -(3)/(2) - (x^2 + 4x + 4)Distribute negative sign: Distribute the negative sign through the expanded square term. We will distribute the negative sign to each term in the expanded square to simplify the expression further. f(x+2) = -(3)/(2) - x^2 - 4x - 4Combine like terms: Combine like terms, if any. In this case, there are no like terms to combine, so the expression is already simplified. f(x+2) = -(3)/(2) - x^2 - 4x - 4

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

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

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Algebra 2

Composition of linear and quadratic functions: find an equation

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Q. Given the function

f(x)=-\frac{3}{2}-x^{2}

, then what is

f(x+2)

as a simplified polynomial?

\newline

Answer:

Substitute $x+2$ : Substitute $x+2$ into the function $f(x)$ . We are given $f(x) = -\frac{3}{2} - x^2$ and we want to find $f(x+2)$ . This means we need to replace every instance of $x$ in the function with $x+2$ . $f(x+2) = -\frac{3}{2} - (x+2)^2$
Expand square term: Expand the square term in the expression. $\newline$ We need to square the binomial $(x+2)$ to continue simplifying the expression. $\newline$ $f(x+2) = -\frac{3}{2} - (x^2 + 4x + 4)$
Distribute negative sign: Distribute the negative sign through the expanded square term. $\newline$ We will distribute the negative sign to each term in the expanded square to simplify the expression further. $\newline$ $f(x+2) = -\frac{3}{2} - x^2 - 4x - 4$
Combine like terms: Combine like terms, if any. $\newline$ In this case, there are no like terms to combine, so the expression is already simplified. $\newline$ $f(x+2) = -\frac{3}{2} - x^2 - 4x - 4$