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Jika f(3x - 2) = x + 1 dan g(5 - x) = 2x maka nilai f(g(3)) + g(f(-5)) =

Jika f(3x - 2) = x + 1 dan g(5 - x) = 2x maka nilai f(g(3)) + g(f(-5)) = ….

Pembahasan:

f(3x – 2) = x + 1

    → 3x – 2 = y → x = 1/3 (y + 2)

f(x) = 1/3 (x + 2) + 1

g(5 – x) = 2x

    → 5 – x = y → x = 5 – y

g(x) = 2(5 – x) = 10 – 2x

g(3) = 10 – 2 . 3 = 4

f(g(3)) = f(4) = 1/3 (4 + 2) + 1 = 3

f(-5) = 1/3 (-5 + 2) + 1 = 0

g(f(-5)) = g(0) = 10 – 2(0) = 10

Sehingga f(g(3)) + g(f(-5)) = 3 + 10 = 13

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