Question

Diketahui f(x) = x^2 - 6x + 9 dan g(x) = x^2 + 1. (f°g) (-2) = ​

Answer 1

f(x) = x² - 6x + 9

g(x) = x² + 1.

(f°g) (-2).....?

(fog)(x)=f(g(x))

= f(x²+1)

=(x²+1)²-6(x²+1)+9

= (x²+1)(x²+1)-6x²-6+9

=x⁴+x²+x²+1-6x²+3

= x⁴-4x²+4

(fog)(-2)=(-2)⁴-4(-2)²+4

=(16)-4(4)+4

= 16-16+4

=4