Question

Two defined functions are given as
f(x)= 3x^2-2
g(x)= x+3

Find:
1. f(g(x))
2. g(f(x))

Answer 1

Answer:

 $x_{12}$ = ( - 9 ± √6) / 3 ; 2). 3x² + 1

Step-by-step explanation:

1). f(g(x)) = 3(x + 3)² - 2 = 3x² + 18x + 27 - 2 = 3x² + 18x + 25

$x_{12}$ = [ - 18 ± √(18² - 300)] / 6 =

$x_{12}$ = ( - 9 ± √6) / 3

2). g(f(x)) = 3x² - 2 + 3 = 3x² + 1