Question

Diket :
Dit
P(X)
= 3x+2
g(x)=x²-1
• (90F) (x) =​

Answer 1

f(x) = 3x + 2

g(x) = [tex]x^{2}[/tex] - 1

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

g (f(x)) = [tex]x^{2}[/tex] - 1

g (3x + 2) = [tex]x^{2}[/tex] - 1

g (3x + 2) = [tex](3x + 2)^{2}[/tex] - 1

g (3x + 2) = [ (3x + 2) (3x + 2) ] - 1

g (3x + 2) = [ 9[tex]x^{2}[/tex] + 6x + 6x + 4 ] - 1

g (3x + 2) = [tex]9x^{2}[/tex]  + 12x + 3