D) -122
Step-by-step explanation:
Given:
![f(x) = 2x^3-\frac{3}2x](/tpl/images/0446/1496/c9dbc.png)
We need to find f(-4).
Now by substituting the value of x =-4 in above equation we get;
![f(-4)= 2\times(-4)^3-\frac{3}{2}\times(-4)\\](/tpl/images/0446/1496/58851.png)
By using PEDMAS we will solve for exponential function first we get;
Now we know that ![(-4)^3=-64](/tpl/images/0446/1496/5fb5b.png)
So we get;
![f(-4)= 2\times(-64)-\frac{3}{2}\times(-4)\\](/tpl/images/0446/1496/78b47.png)
Now using PEDMAS we will solve division.
![f(-4)= 2\times(-64)-1.5\times(-4)](/tpl/images/0446/1496/c2718.png)
Now using PEDMAS we solve multiplication.
![f(-4)= -128+6](/tpl/images/0446/1496/3b045.png)
Finally by subtraction we get;
![f(-4)= -122](/tpl/images/0446/1496/0e8e2.png)