Given the function f(x)=-(5)/(3)x+(5)/(2)x^(3), then what is f(2x) as a simplified polynomial? Answer:

Substitute x in f(x): Substitute 2x for x in the function f(x). We have the function f(x) = -(5/3)x + (5/2)x^3. To find f(2x), we replace every instance of x with 2x. f(2x) = -(5/3)(2x) + (5/2)(2x)^3Simplify by distributing and combining: Simplify the expression by distributing and combining like terms. First, we distribute the constants to the terms with x. f(2x) = -(5/3) * 2x + (5/2) * (2x)^3 Now, we simplify each term. f(2x) = -(10/3)x + (5/2) * 8x^3 f(2x) = -(10/3)x + 40x^3Write final simplified polynomial: Write the final simplified polynomial. The expression is already simplified, so we can write the final answer. f(2x) = -(10/3)x + 40x^3

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Given the function
f(x)=-(5)/(3)x+(5)/(2)x^(3), then what is
f(2x) as a simplified polynomial?
Answer:

Given the function $f(x)=-\frac{5}{3} x+\frac{5}{2} x^{3}$ , then what is $f(2 x)$ 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{5}{3} x+\frac{5}{2} x^{3}

, then what is

f(2 x)

as a simplified polynomial?

\newline

Answer:

Substitute $x$ in $f(x)$ : Substitute $2x$ for $x$ in the function $f(x)$ . We have the function $f(x) = -(\frac{5}{3})x + (\frac{5}{2})x^3$ . To find $f(2x)$ , we replace every instance of $x$ with $2x$ . $f(2x) = -(\frac{5}{3})(2x) + (\frac{5}{2})(2x)^3$
Simplify by distributing and combining: Simplify the expression by distributing and combining like terms. $\newline$ First, we distribute the constants to the terms with $x$ . $\newline$ $f(2x) = -(\frac{5}{3}) \times 2x + (\frac{5}{2}) \times (2x)^3$ $\newline$ Now, we simplify each term. $\newline$ $f(2x) = -(\frac{10}{3})x + (\frac{5}{2}) \times 8x^3$ $\newline$ $f(2x) = -(\frac{10}{3})x + 40x^3$
Write final simplified polynomial: Write the final simplified polynomial. $\newline$ The expression is already simplified, so we can write the final answer. $\newline$ $f(2x) = -(\frac{10}{3})x + 40x^3$