a. (fog)(x) = f(g(x))
= f(2x+5)
= 3(2x+5)-1
= 6x+14-1
= 6x+13
b. (gof)(x) = g(f(x))
= g(3x-1)
= 2(3x-1)+5
= 6x-2+5
= 6x+3
c. (fog)(5) = 6(5)+13
= 30+13
= 43
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Penyelesaian
a. (fog)(x) = f(g(x))
= f(2x+5)
= 3(2x+5)-1
= 6x+14-1
= 6x+13
b. (gof)(x) = g(f(x))
= g(3x-1)
= 2(3x-1)+5
= 6x-2+5
= 6x+3
c. (fog)(5) = 6(5)+13
= 30+13
= 43