Find f g6 and g f6 fx 2x 1 gx x2 3 f g6 g f6 SolutionA

Find (f g)(6) and (g f)(6). f(x) = 2x - 1; g(x) = x^2 - 3 (f g)(6) = (g f)(6) =

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

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

= 2*(x^2 - 3) - 1

= 2x^2 - 7

fog(6) = 2*6^2 - 7 = 65

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

= g(2x-1)

= (2x - 1)^2 - 3

gof(6) = (2*6 - 1)^2 - 3 = 121 - 3 = 118