Question

`f(x) = x ^(5) - x ^(4) + 9 \: at \: x = 2`what's the output of a system modeled by the function

Answer 1

The output of the system at point x = 2 is: 25 (OPTION C)

SOLUTION

Problem Statement

The question gives us a function as shown below:

`f(x)=x^5-x^4+9`

We are to evaluate the function at point x = 2

Solution

To solve the question, we simply need to substitute x = 2 into the equation of f(x). This gives us the output of the function at point x = 2. This is done below:

`\begin{gathered} f(x)=x^5-x^4+9 \\ \text{puting x = 2} \\ f(2)=2^5-2^4+9 \\ f(2)=32-16+9 \\ \therefore f(2)=25 \end{gathered}`

Final Answer

The output of the system at point x = 2 is: 25 (OPTION C)