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₪ Diketahui

f(x) = 2x + 1

g(x) = 5x + 6

? Ditanya

1. (g o f)(x)

2. (f o g)(x)

3. (g o f)(3)

4. (f o g)(3)

✏ Penyelesaian

1. (g o f)(x) = g [ f(x) ]

= g [ 2x + 1 ]

= 5 ( 2x + 1 ) + 6

= 10x + 5 + 6

= 10x + 11

2. (f o g)(x) = f [ g(x) ]

= f [ 5x + 6 ]

= 2 ( 5x + 6 ) + 1

= 10x + 12 + 1

= 10x + 13

3. (g o f)(3)

= 10 ( 3 ) + 11

= 30 + 11

= 41

4. (f o g)(3)

= 10 ( 3 ) + 13

= 30 + 13

= 43