Matematika Sekolah Menengah Atas Diketahui f(x) = x² - 5x + 5 g(x) = x + 4 Ditanya f o g (x) = ..........?

donnellhilpertulv – March 08, 2023

Diketahui f(x) = x² - 5x + 5
g(x) = x + 4
Ditanya f o g (x) = ..........?

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

[tex](fog)(x) = f(x + 4)[/tex]

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

[tex](fog)(x) = ({x}^{2} + 8x + 16) - 5 \: (x + 4) + 5[/tex]

[tex](fog)(x) = {x}^{2} + 8x + 16 - 5x - 20 + 5[/tex]

[tex](fog)(x) = {x}^{2} + 8x - 5x + 16 - 20 + 5[/tex]

[tex](fog)(x) = {x}^{2} + 3x + 1[/tex]

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