f(x)=2(x-4)^5

Step 1 ：Understand the problem: The function is given as \(f(x) = 2(x-4)^5\). We need to find the value of the function for a given x.

Step 2 ：Substitute the given x value into the function: \(f(x) = 2(x-4)^5\).

Step 3 ：Calculate the value inside the parentheses first: \(x-4\).

Step 4 ：Raise the result to the power of 5: \((x-4)^5\).

Step 5 ：Multiply the result by 2: \(2(x-4)^5\).

Step 6 ：The result is the value of the function for the given x.

Step 7 ：Check the result: Substitute the x value into the function and compare it with the calculated result. If they are the same, the result is correct.

Step 8 ：The final result is \(f(x) = 2(x-4)^5\).