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

Write Function and Operation: Write down the given function and the operation to be performed. We are given the function f(x) = -(1/3) + (1/2)x^3 and we need to add 2 to this function.Add 2 to Function: Add 2 to the function f(x). To add 2 to f(x), we simply add 2 to the constant term of the function. f(x) + 2 = (-(1/3) + (1/2)x^3) + 2Simplify Constant Terms: Simplify the constant terms. Combine the constant terms -(1/3) and 2. -(1/3) + 2 = 2 - (1/3) = (6/3) - (1/3) = (5/3)Write Simplified Polynomial: Write the simplified polynomial. Now that we have simplified the constant terms, we can write the simplified polynomial. f(x) + 2 = (5/3) + (1/2)x^3

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

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

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Algebra 1

Multiplication with rational exponents

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Q. Given the function

f(x)=-\frac{1}{3}+\frac{1}{2} x^{3}

, then what is

f(x)+2

as a simplified polynomial?

\newline

Answer:

Write Function and Operation: Write down the given function and the operation to be performed. $\newline$ We are given the function $f(x) = -\left(\frac{1}{3}\right) + \left(\frac{1}{2}\right)x^3$ and we need to add $2$ to this function.
Add $2$ to Function: Add $2$ to the function $f(x)$ . $\newline$ To add $2$ to $f(x)$ , we simply add $2$ to the constant term of the function. $\newline$ $f(x) + 2 = (-(\frac{1}{3}) + (\frac{1}{2})x^3) + 2$
Simplify Constant Terms: Simplify the constant terms. Combine the constant terms $-\frac{1}{3}$ and $2$ . $-\frac{1}{3} + 2 = 2 - \frac{1}{3} = \frac{6}{3} - \frac{1}{3} = \frac{5}{3}$
Write Simplified Polynomial: Write the simplified polynomial. $\newline$ Now that we have simplified the constant terms, we can write the simplified polynomial. $\newline$ $f(x) + 2 = \frac{5}{3} + \frac{1}{2}x^3$