Answer
Step-by-step explanation:
To know the answer we need to sum each value of f(k/5) from k equal to 1 to k equal to 3. So, using the equation f(x) = 3 - 2x², we can complete the following table:
k k/5 f(k/5) = 3 - 2x² value
1 1/5 = 0.2 f(0.2) = 3 - 2(0.2)² 2.92
2 2/5 = 0.4 f(0.4) = 3 - 2(0.4)² 2.68
3 3/5 = 0.6 f(0.6) = 3 - 2(0.6)² 2.28
Therefore, the value for each term of k are:
f(1/5) = 2.92
f(2/5) = 2.68
f(3/5) = 2.28
So, the answer will be the sum of these values, then:
f(1/5) + f(2/5) + f(3/5) = 2.92 + 2.68 + 2.28
f(1/5) + f(2/5) + f(3/5) = 7.88