Matematika Sekolah Menengah Atas Diketahui f(x)= x + 5, g(x) = 2x + 3, danh(x)= x² + 3x - 2. Tentukan: (f o h o g) (-2)​

lisandrokunzeulv – May 11, 2023

Diketahui f(x)= x + 5, g(x) = 2x + 3, dan
h(x)= x² + 3x - 2. Tentukan: (f o h o g) (-2)​

f(x) = (x + 5)

g(x) = (2x + 3)

h(x) = (x² + 3x - 2)

(fohog)(x) = f(h(g(x)))

(fohog)(x) = f(h(2x + 3))

(fohog)(x) = f((2x + 3)² + 3•(2x + 3) - 2)

(fohog)(x) = f((4x² + 12x + 9) + (6x + 9) - 2)

(fohog)(x) = f(4x² + 12x + 9 + 6x + 9 - 2)

(fohog)(x) = f(4x² + 12x + 6x + 9 + 9 - 2)

(fohog)(x) = f(4x² + 18x + 16)

(fohog)(x) = (4x² + 18x + 16) + 5

(fohog)(x) = 4x² + 18x + 16 + 5

(fohog)(x) = 4x² + 18x + 21

(fohog)(-2) = 4•(-2)² + 18•(-2) + 21

(fohog)(-2) = 4•4 + (-36) + 21

(fohog)(-2) = 16 + (-36) + 21

(fohog)(-2) = 1

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