f(x) = (3x - 4)

g(x) = (2x² + 4x - 5)

(gog)(x) = g(g(x))

(gog)(x) = g(2x² + 4x - 5)

(gog)(x) = 2•(2x² + 4x - 5)² + 4•(2x² + 4x - 5) - 5

(gog)(x) = 2•(4x⁴ + 16x³ - 4x² - 40x + 25) + (8x² + 16x - 20) - 5

(gog)(x) = 8x⁴ + 32x³ - 8x² - 80x + 50 + 8x² + 16x - 20 - 5

(gog)(x) = 8x⁴ + 32x³ - 8x² + 8x² - 80x + 16x + 50 - 20 - 5

(gog)(x) = 8x⁴ + 32x³ - 64x + 25

(gog)(-2) = 8•(-2)⁴ + 32•(-2)³ - 64•(-2) + 25

(gog)(-2) = 8•16 + 32•(-8) - (-128) + 25

(gog)(-2) = 128 + (-256) - (-128) + 25

(gog)(-2) = 25

(fog)(x) = f(g(x))

(fog)(x) = f(2x² + 4x - 5)

(fog)(x) = 3•(2x² + 4x - 5) - 4

(fog)(x) = 6x² + 12x - 15 - 4

(fog)(x) = 6x² + 12x - 19

(fog)(-1) = 6•(-1)² + 12•(-1) - 19

(fog)(-1) = 6•1 + (-12) - 19

(fog)(-1) = 6 + (-12) - 19

(fog)(-1) = (-25)

(gof)(x) = g(f(x))

(gof)(x) = g(3x - 4)

(gof)(x) = 2•(3x - 4)² + 4•(3x - 4) - 5

(gof)(x) = 2•(9x² - 24x + 16) + (12x - 16) - 5

(gof)(x) = 18x² - 48x + 32 + 12x - 16 - 5

(gof)(x) = 18x² - 48x + 12x + 32 - 16 - 5

(gof)(x) = 18x² - 36x + 11

(gof)(2) = 18•(2)² - 36•(2) + 11

(gof)(2) = 18•4 - 72 + 11

(gof)(2) = 72 - 72 + 11

(gof)(2) = 11

(fof)(x) = f(f(x))

(fof)(x) = f(3x - 4)

(fof)(x) = 3•(3x - 4) - 4

(fof)(x) = 9x - 12 - 4

(fof)(x) = 9x - 16

(fof)(3) = 9•(3) - 16

(fof)(3) = 27 - 16

(fof)(3) = 11