Question

given the functions f(x) = 2x^3 and g(x) = 8cdot2^x, which of the following statements is true? answer f(4)>g(4) f(4)<g(4) f(4)=g(4)

Explanation:

Step1: Calculate $f(4)$

Substitute $x = 4$ into $f(x)=2x^{3}$. So $f(4)=2\times4^{3}=2\times64 = 128$.

Step2: Calculate $g(4)$

Substitute $x = 4$ into $g(x)=8\times2^{x}$. So $g(4)=8\times2^{4}=8\times16=128$.

Answer:

$f(4)=g(4)$