Diketahui:F(x) =x² - 5x+6 g(x) =2x-3 Tentukan:a.(Fog) (x) b.(gof) (x) c.(Fog) (-2) d.(Fog) (4) e.(Fog) (6) f.(Fog) (-1) g.(gof) (-3) h.(gof) (3)

mohon Bantuannya Segera..

Diketahui:F(x) =x² – 5x+6 g(x) =2x-3 Tentukan:a.(Fog) (x) b.(gof) (x) c.(Fog) (-2) d.(Fog) (4) e.(Fog) (6) f.(Fog) (-1) g.(gof) (-3) h.(gof) (3)

Jawab:

$boxed{F(x) = x^2-5x+6 ::::::g(x)=2x-3}$

$text{a. }(Ftext{ o }g)(x) = F(g(x))\= (2x-3)^2-5(2x-3)+6\=4x^2-2(2x)(3)+9-10x+15+6\boxed{=4x^2-22x+30}$

$text{b. }(gtext{ o }F)(x) = g(F(x))\= 2(x^2-5x+6)-3\= 2x^2-10x+12-3\boxed{= 2x^2-10x+9}$

$text{c. } (Ftext{ o }g)(-2)= F(g(-2))\=4(-2)^2-22(-2)+30\= 4(4)+44+30\=16+74\boxed{=90}$

$text{d. } (Ftext{ o }g)(4)= F(g(4))\=4(4)^2-22(4)+30\= 4(16)-88+30\=64-58\boxed{=6}$

$text{e. } (Ftext{ o }g)(6)= F(g(6))\=4(6)^2-22(6)+30\= 4(36)-102\boxed{=42}$

$text{f. } (Ftext{ o }g)(-1)= F(g(-1))\=4(-1)^2-22(-1)+30\= 4(1)+22+30\boxed{=56}$

$text{g. } (gtext{ o }F)(-3)= g(F(-3))\= 2(-3)^2-10(-3)+9\= 2(9)+30+9\boxed{=57}$

$text{h. } (gtext{ o }F)(3)= g(F(3))\= 2(3)^2-10(3)+9\= 2(9)-30+9\boxed{=-3}$