Question

given the functions f(x)=4x^4 and g(x)=4cdot3^x, which of the following statements is true? answer f(5)=g(5) f(5)<g(5) f(5)>g(5)

Explanation:

Step1: Calculate $f(5)$

Substitute $x = 5$ into $f(x)=4x^{4}$. So $f(5)=4\times5^{4}=4\times625 = 2500$.

Step2: Calculate $g(5)$

Substitute $x = 5$ into $g(x)=4\times3^{x}$. So $g(5)=4\times3^{5}=4\times243=972$.

Step3: Compare $f(5)$ and $g(5)$

Since $2500>972$, we have $f(5)>g(5)$.

Answer:

$f(5)>g(5)$