Question

F(x)=3(x^5+7x^3+1)^4

Answer 1

Решение во вложении:

Answer 2

The function you provided is:

F(x) = 3(x^5 + 7x^3 + 1)^4

This is a polynomial function with a single variable, x. The function is composed of two main components: an inner polynomial expression, (x^5 + 7x^3 + 1), and an outer exponentiation by 4. The entire expression is then multiplied by 3.

To evaluate this function for a specific value of x, you would follow these steps:

1. Substitute the given value of x into the inner polynomial expression: (x^5 + 7x^3 + 1).
2. Calculate the result of the inner polynomial expression.
3. Take the result from step 2 and raise it to the power of 4.
4. Multiply the result from step 3 by 3.

For example, if you wanted to evaluate the function at x = 2, you would perform the following calculations:

1. Substitute x = 2 into the inner polynomial expression: (2^5 + 7(2^3) + 1).
2. Simplify the inner polynomial expression: (32 + 56 + 1) = 89.
3. Raise the result from step 2 to the power of 4: 89^4 ≈ 5,764,801.
4. Multiply the result from step 3 by 3: 3 * 5,764,801 = 17,294,403.

Therefore, F(2) ≈ 17,294,403.

You can perform similar calculations for any other value of x to evaluate the function at that point.