Question

Given : f(x) = -x^2 + 2x - 5
Calculate f(-3) - f (2)

Answer 1

To calculate f(-3), substitute -3 in place of x in the function f(x):

f(-3) = -(-3)^2 + 2(-3) - 5
f(-3) = -9 - 6 - 5
f(-3) = -20

Now, calculate f(2) by substituting 2 in place of x in the function f(x):

f(2) = -(2)^2 + 2(2) - 5
f(2) = -4 + 4 - 5
f(2) = -5

Finally, calculate f(-3) - f(2):

f(-3) - f(2) = -20 - (-5)
f(-3) - f(2) = -20 + 5
f(-3) - f(2) = -15