Answer
a) -4
b) 1
c) -3
d) -3x^{2}-2x-4
e) -3x^{2}-2x+4
f) 3x^{2}+8x+1
g) 12x^{2}+4x-4
h) 3x^{2}+6xh+3h^{2}+2x+2h-4
Work Step by Step
a) f(0) = 3(0)^{2}+2(0)-4 = 0+0-4 = -4
b) f(1) = 3(1)^{2}+2(1)-4 = 3+2-4 = 1
c) f(-1) = 3(-1)^{2}+2(-1)-4 = 3-2-4 = -3
d) f(-x) = 3(-x)^{2}+2(-x)-4 = 3x^{2}-2x-4
e) -f(x) = -1( 3x^{2}+2x-4 ) =-3x^{2}-2x+4
f) f(x+1) = 3(x+1)^{2}+2(x+1)-4 = 3(x^{2}+2x+1)+2(x+1)-4 = 3x^{2}+8x+1
g) f(2x) = 3(2x)^{2}+2(2x)-4 = 3(4x^{2}) +4x-4 = 12x^{2}+4x-4
h) f(x+h) = 3(x+h)^{2}+2(x+h)-4 = 3(x^{2}+2xh+h^{2})+2x+2h-4 = 3x^{2}+6xh+3h^{2}+2x+2h-4
