[tex]f(x) = x ^{5} - x ^{4} + 9 \: at \: x = 2[/tex]what's the output of a system modeled by the function


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:
[tex]f(x)=x^5-x^4+9[/tex]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:
[tex]\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}[/tex]Final Answer
The output of the system at point x = 2 is: 25 (OPTION C)