Question

evaluate the function for the given value of x.\\(g(x) = x^6 - 64x^4 + x^2 - 7x - 51\\); \\(x = 8\\)\\(g(8) = \square\\)

Explanation:

Step1: Substitute $x=8$ into $g(x)$

$g(8) = 8^6 - 64(8^4) + 8^2 - 7(8) - 51$

Step2: Calculate each term separately

$8^6=262144$, $64(8^4)=64\times4096=262144$, $8^2=64$, $7(8)=56$

Step3: Substitute values back and compute

$g(8)=262144 - 262144 + 64 - 56 - 51$

Step4: Simplify step by step

$262144-262144=0$; $0+64=64$; $64-56=8$; $8-51=-43$

Answer:

$-43$