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Matematika SMA
Fungsi Komposisi dan Invers

Pembahasan :
Fog(x) = 5x² + 7
f(g(x)) = 5x² + 7
5g(x) - 5 = 5x² + 7
5g(x) = 5x² + 12
G(x) = (5x² + 12)/5
G(√3) = [5(√3)² + 12)/5
G(√3) = [15 + 12]/5 = 27/5

f(x) = 5x - 5
f(-2) = 5(-2) - 5 = -15

Maka...
G(√3) + f(-2)
= 27/5 + (-15)
= 27/5 - 15
= (27 - 75)/5
= -48/5

fog(x) = 5x² + 7
5(g(x)) - 5 = 5x² + 7
5(g(x)) = 5x² + 12
g(x) = (5x² + 12)/5

g(akar3) + f(-2)
= (5(akar3)² + 12)/5 + (5(-2) - 5)
= (15 + 12)/5 - 10 - 5
= (15 + 12 - 75)/5
= -48/5
= -9 3/5