Answer:
![f(2)=25](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8laaf2ghmwyens0kdhsz9b34ekf2n4pg5f.png)
Explanation:
You know that the given function is:
![f(x)=4x^3-x^2-5x+7](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jaiiamiaq0vo3kdle1zvk8sva99ea56fxb.png)
You know that you must evaluate this function for
.
Then, to evaluate the function for
, you need to substitute this value into the given function and simplify it.
Therefore, you get:
![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](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bip10e3vzloklwtqowcws24eoqczioe3kj.png)
So, the answer is:
![f(2)=25](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8laaf2ghmwyens0kdhsz9b34ekf2n4pg5f.png)