92 95 9x2 Given that fx 3x if x 3 findSolutiona g2 2 lies i

9(-2) 9(5) 9(x^2) Given that f(x) = {3x if x 3, find

a) g(-2)

-2 lies in the domain x < 0

so we will use the function f(x) = 3x

g(-2) = 3(-2) = -6

b) g(5)

5 lies in the domain x > 3

so we will use the function (x-2)^2

g(5) = (5-2)^2 = 9

c) g(x^2) :

g(x^2) = 3x^2 if x<0

= x^2 +1 if 0<=x<=3

= (x^2 -2)^2 if x<3

$9(-2) 9(5) 9(x^2) Given that f(x) = {3x if x 3, findSolutiona) g(-2) -2 lies in the domain x < 0 so we will use the function f(x) = 3x g(-2) = 3(-2) = -6 b)$

92 95 9x2 Given that fx 3x if x 3 findSolutiona g2 2 lies i

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