gm when gx 23 x 6x3 xx 3 x6x2 x 113 fx 4 when fx 2x2

g(m) when g(x) = 2/3 x - 6x^3 + x(x + 3) x(-6x^2 + x + 11/3) f(x + 4) when f(x) = 2x^2 + 6x - 14 2x^2 + 20 + 46

a) g(x) = 2x/3 -6x^3 + x(x+3)

g(m) can be found by plugging x=m

g(m) = 2m/3 -6m^3 +m(m+3)

b) f(x) = 2x^2 +6x -14

f(x+4) = 2( x+4)^2 +6( x+4) -14

= 2(x^2 +16 +8x) +6x +24 -14

= 2x^2 + 22x + 42