dik:f(x)=2x+3 ,g(x)=x+2,h(x)=3x+2 tentukan berapa hogof (2)x gohof 3 +fogoh 2

--menentukan (hogof)(2)—

(hog)(x) = h(g(x))

                = h(x+2)

                = 3(x+2)+2

                = 3x+6+2

                = 3x+8

(hogof)(x) = (hog)(f(x))

                = (hog)(2x+3)

                = 3(2x+3)+8

                = 6x+9+8

                = 6x+17

(hogof)(2) = 6x+17

                = 6(2)+17

                = 12+17

                = 29

--menentukan (gohof)(3)—

(goh)(x) = g(h(x))

                = g(3x+2)

                = (3x+2)+2

                = 3x+4

(gohof)(x) = (goh)(f(x))

                = (goh)(2x+3)

                = 3(2x+3)+4

                = 6x+9+4

                = 6x+13

(gohof)(3) = 6x+13

                = 6(3)+13

                = 18+13

                = 31

 

--menentukan (fogoh)(2)—

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

                = f(x+2)

                = 2(x+2)+3

                = 2x+4+3

                = 2x+7

(fogoh)(x) = (fog)(h(x))

                = (fog)(3x+2)

                = 2(3x+2)+7

                = 6x+4+7

                =6x+11

(fogoh)(2) = 6x+11

                = 6(2)+11

                = 12+11

                = 23

Maka nilai (hogof)(2)x(gohof(3)+(fogoh)(2)

= 29 x 31+23

= 899+23

= 922