Two defined functions are given asf(x)= 3x^2-2g(x)= x+3Find:1. f(g(x))

1.	Two defined functions are given asf(x)= 3x^2-2g(x)= x+3Find:1. f(g(x))2. g(f(x))
Answer» 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*

Two defined functions are given asf(x)= 3x^2-2g(x)= x+3Find:1. f(g(x))2. g(f(x))

Answer»

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

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Two defined functions are given asf(x)= 3x^2-2g(x)= x+3Find:1. f(g(x))2. g(f(x))

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