Question

Consider the functions f(x) = 4x² - x and g(x) = 2x + 5.

f • g(-3) =

g • f(-3) =​

Answer 1

`{ \tt{f•g(x) = 4(2x + 5) {}^(2) }} \\ = { \tt{4(4 {x}^(2) + 20x + 25)}} \\ = { \tt{ {8x}^(2) + 80x + 100}} \\ \\ { \tt{f•g( - 3) = 8 {( - 3)}^(2) + 80( - 3) + 100 }} \\ { \tt{f•g( - 3) = 72 - 240 + 100}} \\ { \tt{f•g( - 3) = - 68}} \\ \\ \\ { \tt{g•f(x) = 2( {4x}^(2)) + 5 }} \\ { \tt{ = {8x}^(2) + 5 }} \\ { \tt{g•f( - 3) = 8 {( - 3)}^(2) + 5}} \\ { \tt{g•f( - 3) = 77}}`