Final answer:
To evaluate the expression (f-9)(-4), calculate f(-4) using f(x) = ⅛(2x+9), which equals ½, then subtract 9 to get the final result, -₈½.
Step-by-step explanation:
To evaluate the expression (f-9)(-4), we first need to find the value of the function f at x = -4 and then subtract 9 from the result.
Using the given function f(x) = ⅛(2x+9), we substitute x with -4:
f(-4) = ⅛(2(-4)+9) = ⅛(-8+9) = ⅛
Now, we compute the value:
f(-4) = ⅛(1) = ½
Next, we subtract 9 from the computed value of f(-4):
(f-9)(-4) = f(-4) - 9 = ½ - 9
Finally, we get the result:
(f-9)(-4) = -₈½