f(x) = 2x + 5
g(x) = (x - 1) / (x + 4)
(fog)(x)
= f [ g(x) ]
= 2 ( (x - 1) / (x + 4) ) + 5
= ( (2x - 2) / (x + 4) ) + 5
= ( (2x - 2) / (x + 4) ) + ( (5 (x + 4)) / (x + 4) )
= ( 2x - 2 + 5x + 20 ) / ( x + 4 )
= ( 7x + 18 ) / ( x + 4 )
f(x) = 3x - 5
g(x) = (x - 1) / (2 - x)
= 3 ( (x - 1) / (2 - x) ) - 5
= ( ( 3x - 3 ) / ( 2 - x ) ) - 5
= ( ( 3x - 3 ) / ( 2 - x ) ) - ( (5 (2 - x) / (2 - x) )
= ( ( 3x - 3 - ( 10 - 5x ) ) / ( 2 - x )
= ( 8x - 13 ) / ( 2 - x )
= ( 8x - 13 ) / ( - x + 2 )
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Jawaban No 1
f(x) = 2x + 5
g(x) = (x - 1) / (x + 4)
(fog)(x)
= f [ g(x) ]
= 2 ( (x - 1) / (x + 4) ) + 5
= ( (2x - 2) / (x + 4) ) + 5
= ( (2x - 2) / (x + 4) ) + ( (5 (x + 4)) / (x + 4) )
= ( 2x - 2 + 5x + 20 ) / ( x + 4 )
= ( 7x + 18 ) / ( x + 4 )
Jawaban No 2
f(x) = 3x - 5
g(x) = (x - 1) / (2 - x)
(fog)(x)
= f [ g(x) ]
= 3 ( (x - 1) / (2 - x) ) - 5
= ( ( 3x - 3 ) / ( 2 - x ) ) - 5
= ( ( 3x - 3 ) / ( 2 - x ) ) - ( (5 (2 - x) / (2 - x) )
= ( ( 3x - 3 - ( 10 - 5x ) ) / ( 2 - x )
= ( 8x - 13 ) / ( 2 - x )
= ( 8x - 13 ) / ( - x + 2 )