Question

Diketahui f(x) = x^2 - nx dan g (x) = 3x + 14. Nilai n yang memenuhi (f o g)(-4) + 10 = ( g o f)(2) adalah...



Ayo kakak bantuin aku^_^

Answer 1

Verified answer

F(x) = x^2 - nx dan g(x) = 3x + 14
fog(-4) +10 = gof(2)
f { g(-4) } + 10 = g { f(2) }
f (3.-4 +14) + 10 = g {(2^2) - n(2)}
f (2) + 10 = g (4 - 2n)
2^2 - n.2 + 10 = 3(4 -2n) +14
4 -2n +10 = 12 -6n +14
-2n + 14 = -6n + 26
-2n + 6n = 26 -14
4n = 12
n = 3