Answer: [tex]f(2)=25[/tex]
Step-by-step explanation:
You know that the given function is:
[tex]f(x)=4x^3-x^2-5x+7[/tex]
You know that you must evaluate this function for [tex]x=2[/tex].
Then, to evaluate the function for [tex]x=2[/tex], you need to substitute this value into the given function and simplify it.
Therefore, you get:
[tex]f(x)=4x^3-x^2-5x+7\\f(2)=4(2)^3-(2)^2-5(2)+7\\f(2)=4(8)-(4)-10+7\\f(2)=32-4-10+7\\f(2)=25[/tex]
So, the answer is: [tex]f(2)=25[/tex]