Question

given the functions f(x)=4x^4 and g(x)=4^x, which of the following statements is true? answer f(6)<g(6) f(6)=g(6) f(6)>g(6)

Explanation:

Step1: Calculate f(6)

Substitute x = 6 into f(x)=4x⁴. So f(6)=4×6⁴=4×1296 = 5184.

Step2: Calculate g(6)

Substitute x = 6 into g(x)=4^x. So g(6)=4⁶=4096.

Step3: Compare f(6) and g(6)

Since 5184>4096, we have f(6)>g(6).

Answer:

f(6) > g(6)