Find the following for the function fx 3x2 2x 3 f0 f4 fx

Find the following for the function f(x) = 3x^2 + 2x - 3. f(0) f(-4) f(-x) f(x + h) f(0) = __ (Simplify your answer) f(- 4) = __ (Simplify your answer.) f(- x) = (Simplify your answer.) f(x + h) = __ (Simplify your answer.)

Solution

f(0) = 3(0)+2(0)-3=-3

f(-4) =3*(-4)^2+2*(-4)-3 =37

f(-x) =3*x^2-2*x-3 .

f(x+h) = 3*x^2+(12*h+2)*x+(12*h^2+4*h-3) .