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