Question

given the functions $f(x)=4x^{4}$ and $g(x)=5^{x}$, which of the following statements is true? answer $f(3)=g(3)$ $f(3)g(3)$

Explanation:

Step1: Calculate f(3)

Substitute x = 3 into f(x)=4x^4. So f(3)=4×3^4 = 4×81=324.

Step2: Calculate g(3)

Substitute x = 3 into g(x)=5^x. So g(3)=5^3=125.

Step3: Compare f(3) and g(3)

Since 324>125, we have f(3)>g(3).

Answer:

f(3) > g(3)