Question

given the functions $f(x) = x^4$ and $g(x) = 6 cdot 2^x$, which of the following statements is true?
answer
$f(9) > g(9)$ $f(9) < g(9)$ $f(9) = g(9)$

Explanation:

Step1: Calculate $f(9)$

$f(9) = 9^4 = 6561$

Step2: Calculate $g(9)$

$g(9) = 6 \cdot 2^9 = 6 \cdot 512 = 3072$

Step3: Compare the two values

$6561 > 3072$, so $f(9) > g(9)$

Answer:

$f(9) > g(9)$