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$What is (f*g)(x) ? {:[f(x)=4x+2],[g(x)=2x^(2)]:} Write your answer as a polynomial or a rational function ir ◻$

What is $(f*g)(x)$ ? $\newline$ $f(x)=4x+2$ $\newline$ $g(x)=2x^{2}$ $\newline$ Write your answer as a polynomial or a rational function. $\newline$ $\square$

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Power rule with rational exponents

Full solution

Q. What is

(f*g)(x)

?

\newline

f(x)=4x+2

\newline

g(x)=2x^{2}

\newline

Write your answer as a polynomial or a rational function.

\newline

\square

Identify Functions: Identify the functions to multiply. $\newline$ We have $f(x) = 4x + 2$ and $g(x) = 2x^2$ . We need to find the product $(f*g)(x)$ .
Multiply Functions: Multiply the functions. $\newline$ $(f*g)(x) = (4x + 2) \times (2x^2)$
Distribute Terms: Distribute each term in $f(x)$ to each term in $g(x)$ . $= 4x \times 2x^2 + 2 \times 2x^2$ $= 8x^3 + 4x^2$

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\newline

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\newline

(27x)^{\frac{2}{3}}

\newline

\newline

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\newline

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\newline

\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}

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\newline

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\newline

\newline

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