Matematika f(x) = x ^ 2 - 5 g(x) = 2x - 1 (fog) (4)

lonzogreenulv – March 14, 2023

f(x) = x ^ 2 - 5 g(x) = 2x - 1 (fog) (4)

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

[tex](fog)(x) = f(2x - 1)[/tex]

[tex](fog)(x) = {(2x - 1)}^{2} - 5[/tex]

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

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

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

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

[tex](fog)(4) = {4(4)}^{2} - 4(4) - 4[/tex]

[tex](fog)(4) = 4(16) - 16 - 4[/tex]

[tex](fog)(4) = 64 - 16 - 4[/tex]

[tex](fog)(4) = 44[/tex]

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