Given the function f(x)=-(4)/(3)x^(2)-(2)/(3), then what is f(x)-3 as a simplified polynomial? Answer:

Write Function and Expression: Write down the given function and the expression to simplify. We have the function f(x) = -(4/3)x^2 - (2/3). We need to find the expression for f(x) - 3.Subtract 3 from Function: Subtract 3 from the given function f(x). To find f(x) - 3, we subtract 3 from each term of the function f(x). f(x) - 3 = (-(4/3)x^2 - (2/3)) - 3Simplify by Combining Like Terms: Simplify the expression by combining like terms. We need to express 3 as a fraction with the same denominator as the other terms to combine them. 3 can be written as (9/3) since 9 divided by 3 equals 3. f(x) - 3 = (-(4/3)x^2 - (2/3)) - (9/3)Combine Constant Terms: Combine the constant terms. Now we combine the constant terms (-2/3) and (-9/3). f(x) - 3 = -(4/3)x^2 - (2/3) - (9/3) f(x) - 3 = -(4/3)x^2 - (11/3)

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Given the function
f(x)=-(4)/(3)x^(2)-(2)/(3), then what is
f(x)-3 as a simplified polynomial?
Answer:

Given the function $f(x)=-\frac{4}{3} x^{2}-\frac{2}{3}$ , then what is $f(x)-3$ 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)=-\frac{4}{3} x^{2}-\frac{2}{3}

, then what is

f(x)-3

as a simplified polynomial?

\newline

Answer:

Write Function and Expression: Write down the given function and the expression to simplify. $\newline$ We have the function $f(x) = -\left(\frac{4}{3}\right)x^2 - \left(\frac{2}{3}\right)$ . We need to find the expression for $f(x) - 3$ .
Subtract $3$ from Function: Subtract $3$ from the given function $f(x)$ . To find $f(x) - 3$ , we subtract $3$ from each term of the function $f(x)$ . $f(x) - 3 = (-(\frac{4}{3})x^2 - (\frac{2}{3})) - 3$
Simplify by Combining Like Terms: Simplify the expression by combining like terms. We need to express $3$ as a fraction with the same denominator as the other terms to combine them. $3$ can be written as $(9/3)$ since $9$ divided by $3$ equals $3$ . $f(x) - 3 = (-(4/3)x^2 - (2/3)) - (9/3)$
Combine Constant Terms: Combine the constant terms. $\newline$ Now we combine the constant terms $(-\frac{2}{3})$ and $(-\frac{9}{3})$ . $\newline$ $f(x) - 3 = -(\frac{4}{3})x^2 - (\frac{2}{3}) - (\frac{9}{3})$ $\newline$ $f(x) - 3 = -(\frac{4}{3})x^2 - (\frac{11}{3})$