fx 6x25 gx SolutionSolution a fogx fgx fogx f13x fogx

Solution

Solution:

a)

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

=> (fog)(x) = f(1/3x)

=> (fog)(x) = 6(1/3x)² - 5

=> (fog)(x) = (2/3x² ) - 5

=> (fog)(x) = (2 - 15x²) / 3x²

Domain:

3x² 0

=> x 0

Hence;

x (-,0) U (0,)