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Diketahui fungsi f(x)=2-x,g(x)=x2+1,h(x)=3x.1.tentukan ( f o g o h) (2)!A.40B.41C.42D.43E.39
Jawaban:E(f o g o h )(x)=(fog)(x) =f(gx) =2- x2 +1 =- x2+3(f og o h )(x) = (fog)(hx) =-3x2+3 =9 x2+3(f o g o h )(2) = 9(2)2+3 =39
2.tentukan (hogof)(2)!A.3B.2C.1D.0E.(-1)
Jawaban:A(hogof)(x)=(hog)(x) =h(g(x)) = 3 (x2 + 1)
= 3 x2 + 3
( h o g o f) = ( h o g) (f x) = 3 ( 2- x2 ) + 3 = 3 (x2 - 4x + 4) + 3 = 3 x2 -12x + 12 + 3
= 3 x2 -12x +15
( h o g o f) (2) = 3 x2 -12x +15= 3 (22 ) – 12 (2) +15
= 12 - 24 + 15= 3
3. tentukan ( f o g o h) (4)!A.120B.130C.140D.142E.147
Jawaban:E
( f o g o h) = (f o g) (x) = f (g x) = 2 - x2 + 1 = - x2 + 9
( f o g o h) (x) = (f o g) (hx)= - (3 x2 ) + 3= 9 x2 + 3
( f o g o h) (4) = 9(4) 2 +3 = 147
Diketahui fungsi f(x)=2x, g(x)=4x, h(x)=8x4. tentukan ( f o g o h) (2)!
A.112B.122C.128D.124E.130
Jawaban:C
( f o g o h) (x) = f(gx)= 2 (4x)= 8x
( f o g o h) (x) = (f o g) (hx)= 8 (8x)= 64x
( f o g o h) (2) = 64 . 2= 128
5. tentukan ( h o g o f) (2)!A.112B.122C.128D.124E.130
Jawaban:C
(hogof)(x)= h (gx) = 8 (4x) = 3 2x
( h o g o f) = ( h o g) (f x)= 32 (2x)= 64x
( h o g o f) (2) = 64 . 2 = 128
Diketahui fungsi f(x)= x , g(x)= x, h(x)= x
6. tentukan ( f o g o h) (2)!
A.
B.
C.
D.
E.
Jawaban:C
( f o g o h) (x) = f(gx)
= ( x)
= x
( f o g o h) (x) = (f o g) (hx)
= ( x)
= x
( f o g o h) (2) = . 2
=
=
7.tentukan ( g o f o h ) (-4)!
A. -
B. -
C. -
D. -
E. -
( g o f o h ) (x) = g (fx)
= ( x)
= x
( g o f o h ) (x) = (g o f) (hx)
= ( x)
= x
( g o f o h ) (2) = . (-4)
= -
= -
Diketahui fungsi f(x)= x - 3, g(x) = x2 -3, h(x) = 2x8. tentukan ( f o g o h) (2)!
A.10B.11C.12D.13E.14Jawaban;( f o g o h) (x) = f(gx)
= x2 – 3 - 3= x2 - 6
( f o g o h) (x) = (f o g) (hx)= (2x) 2 - 6= 4x2 - 6
( f o g o h) (2) = 4(22 ) - 6= 10
9. tentukan ( g o h o f ) (2)!A.-2B.-1C.0D.1E.2
Jawaban:C
( g o h o f ) (x) = g (fx)= (2x) 2 - 3= 4x2 - 3
( g o h o f ) (x) = (g o h) (fx)= 4 ( x – 3) 2 - 3
= 4 (x2 - 6x + 9) – 3= 4 x2 - 24x + 36 – 3= 4 x2 - 24x + 33
( g o f o h ) (2) = 4 (22 ) – 24 (2) + 33= 16- 48 + 33=1
10. tentukan ( g o h o f ) (2)!A.-2B.-1C.0D.1E.2Jawaban:C
( g o h o f ) (x) = g (fx) =(2x) 2-3= 4x2 - 3
( g o h o f ) (x) = (g o h) (fx) = 4 (x2 – 3) 2 - 3
= 4 (x4 - 6x2 + 9) – 3 = 4 x4 - 24x2 + 36 – 3 = 4 x4 - 24x2 + 33
( g o f o h ) (2) = 4 (24 ) – 24 (2)2 + 33
= 64-96+3311.tentukan ( h o h o h) (2)! A16B.17C.18D.19E.20Jawaban: ( h o h o h ) (x) = h (hx)
=2(2x) =4x
( h o h o h ) (x) =4(2x) =8x
( h o h o h ) (2)=8(2) =16
.12. tentukan ( f o f o g ) (2)!A.-1B.-2C.-3D.-4E.-5.
Jawaban:C
( f o f o g) (x) = f(fx) = x – 3 -3 = x-6( f o f o g) (x) =(f o f) (gx) = x2 – 3 - 6 = x2 – 9( f o f o g) (2)=22– 9 =4-9 = -5