find the values given for the following functions f x3x22x4

find the values, given for the following functions:
f (x)=3x^2-2x-4 and g (x)=3x-4
a) f (0)
b) f (x+3)
c) f (x)+g (x)
d) f (g (x))

f (x)=3x^2-2x-4 and g (x)=3x-4

a) f(0) = 3(0) -2(0) -4 = -4

b) f(x+3) ; plug x= x+3 in f(x)

f(x+3) = 3(x+3)^2 - 2(x+3) -4 = 3(x^2 +9 +6x) -2x -6

= 3x^2 +27 +18x -2x -6

= 3x^2 + 16x + 21

c) ( f +g)(x)

add f(x) and g(x) to get f(x) f+g)(x) = 3x^2 -2x -4 +3x -4 = 3x^2 +x -8

d) f(g(x))

Plug x= g(x) in f(x) to get

f(g(x)) = 3(3x -4)^2 -2( 3x -4) -4 = 3( 9x^2 +16 -24x) -6x + 8 -4

=27x^2 +48 -72x -6x +4

= 24x^2 -78x +52