Jawaban:

Jawab:

fungsi komposisi dan fungsi invers

Penjelasan dengan langkah-langkah:

1. g(x -2) = 2x - 3

fog(x- 2) = 4x² -8x + 3

f (2x - 3) = 4x² -8x + 3

f(-3) = ...

2x - 3 = -3

2x = 0

x = 0

nilai f(-3) didapat dengan sub x = 0 pada 4x² -8x + 3

f(-3) = 4(0)² -8(0) + 3

f(-3) = 3

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2) {fogoh}(x) = f {g o h }(x)

{fogoh)(x) = f {g (3x)} = f {3x - 1)

{fogoh)(x) = (3x - 1)² = 9x²-6x + 1

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3. f(x) = 2x -3

fog(x) = 6x + 3

2. g(x) - 3 = 6x + 3

2. g(x) = 6x + 3+ 3

2. g(x)= 6x + 6

g(x) = 1/2 (6x + 6)

g(x) = 3x + 3

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4. gof(x) = 2x² + 4x + 5 dan g(x) = 2x + 3

g{f(x)} = 2x²+4x + 5

2. f(x) + 3 = 2x² + 4x + 5

2. f(x) = 2x² + 4x + 5 - 3

2. f(x) = 2x² + 4x + 2

f(x) = 1/2 (2x² + 4x + 2)

f(x) = x² + 2x + 1