Matematika f(x) = x²-2x-8 g(x) = 2x+3 (fog)(1) = ?

aracelipriceulv – April 08, 2023

f(x) = x²-2x-8
g(x) = 2x+3
(fog)(1) = ?

[tex](fog)(x) = f(g(x))[/tex]

[tex](fog)(x) = f(2x + 3)[/tex]

[tex](fog)(x) = {(2x + 3)}^{2} - 2 \: (2x + 3) - 8[/tex]

[tex](fog)(x) = {4x}^{2} + 12x + 9 - 4x - 6 - 8[/tex]

[tex](fog)(x) = {4x}^{2} + 12x - 4x + 9 - 6 - 8[/tex]

[tex](fog)(x) = {4x}^{2} + 8x - 5[/tex]

[tex](fog)(1) = 4 \: {(1)}^{2} + 8 \: (1) - 5[/tex]

[tex](fog)(1) = 4 \: (1) + 8 - 5[/tex]

[tex](fog)(1) = 4 + 3[/tex]

[tex](fog)(1) = 7[/tex]

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