Jika F(x)=2-x , g(x)=x²+1 , h(x)=3x Tentukan: A. f o g o h(x) B. h o g o f(2) Kasih tahu ya kk

a. (fogoh)(x) = (fog)(3x)                     = f ((3x)² + 1)                    = f (( 9x² ) + 1)                    = 2-(9x² +1)                    = 2-9x²-1                    = -9x + 1
b.(hogof)(2) = (hog)(2-2)                    = h (0² + 1)                    = h (1)                    = 3(1)                    = 3
semoga membantu :)

a. fogoh(x)
fog(x) = f(g(x))
=2-x
=2(g(x))
=2(x kuadrat+1)
=2xkuadrat +2
gof(x) = g(f(x))
=x kuadrat +1
= (2-x)kuadrat +1
=(2-x)(2-x)+1
=(4-2x-2x+xkuadrat)+1
=(4-4x+x kuadrat)+1
=-4x+xkuadrat+4+1
=-4x+x kuadrat+5
fogoh(x)= fog(h(x))
2xkuadrat+2
=2(3x)kuadrat+2
=6xkuadrat+2
semoga membantu