Question

Diketahui f(x) = x^2 + nx dan g(x) = 2x - 3 jika (f°g) (2) = (g°f) (-2), nilai dari 5n =​

Answer 1

f( g(2) ) = = g( f(-2) )

f( 2(2) - 3 ) = g( (-2)^2 + n(-2) )

f(4-3) = g ( 4-2n )

f(1) = 2(4-2n) - 3

1^2 + n(1) = 8-4n -3

1 + n = 5-4n

n+4n = 5-1

5n = 4