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Given the functions
f(x)=3x^(2) and
g(x)=3*2^(x), which of the following statements is true?

f(4) > g(4)

f(4)=g(4)

f(4) < g(4)

Given the functions $f(x)=3 x^{2}$ and $g(x)=3 \cdot 2^{x}$ , which of the following statements is true? $\newline$ f(4)>g(4) $\newline$ $f(4)=g(4)$ $\newline$ \( f(4)

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Solve quadratic inequalities

Full solution

Q. Given the functions

f(x)=3 x^{2}

and

g(x)=3 \cdot 2^{x}

, which of the following statements is true?

\newline

f(4)>g(4)

\newline

f(4)=g(4)

\newline

f(4)<g(4)

Calculate $f(4)$ : Calculate $f(4)$ using the function $f(x) = 3x^2$ . $\newline$ $f(4) = 3 \times (4)^2$ $\newline$ $f(4) = 3 \times 16$ $\newline$ $f(4) = 48$
Calculate $g(4)$ : Calculate $g(4)$ using the function $g(x) = 3 \times 2^x$ . $\newline$ $g(4) = 3 \times 2^{4}$ $\newline$ $g(4) = 3 \times 16$ $\newline$ $g(4) = 48$
Compare values: Compare the values of $f(4)$ and $g(4)$ . $\newline$ Since $f(4) = 48$ and $g(4) = 48$ , we have $f(4) = g(4)$ .

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