Step-by-step explanation:
when you multiply two functions together you multiply the outputs
[tex]f(x) = {x}^{2} \\ g(x) = x + 2 \\ fg(3) = {3}^{2} (3 + 2) = 9(5) = 45 \\ gf(3) = (3 + 2) {3}^{2} = 45 \\ fg(x) = {x}^{2} (x + 2) = {x}^{3} + 2x \\ gf(x) = (x + 2) {x}^{2} = {x}^{3} + 2x \\ gg(x) = ( x+ 2)(x + 2) \\ = {x}^{2} + 4x + 4[/tex]
[tex]f(x) = 2x - 4 \\ g(x) = 3x + 5 \\ gf(3) = (2 \times 3 - 4)(3 \times 3 + 5) \\ = (6 - 4)(9 + 5) \\ = 2 \times 14 \\ = 28[/tex]
