Question

For the function defined by f(x)=3x^2+5x+2, find the following values.
(a) f(-4)=
(b) f(-x)=
(c) -f(x)=
(d) f(x+h)=

Answer 1

For (a), (b), and (d), all you need to do is to replace x in the polynomial with each of the values you are given, and evaluate.
(a) f(-4) = 3*(-4)^2 + 5(-4) + 2
(b) f(-x) = 3*(-x)^2 + 5(-x) + 2
(d) f(x + h) = 3*(x + h)^2 + 5(x + h) + 2
For (b), just take the negative of the polynomial.
-f(x) = -(3x^2 + 5x + 2)