Diketahui f(x) = 3x - 2 dan g(x)=4-2x, maka nilai (fog)-¹(4) adalah
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[tex](fog)(x) = f(g(x))[/tex]
[tex](fog)(x) = f(4 - 2x)[/tex]
[tex](fog)(x) = 3 \: (4 - 2x) - 2[/tex]
[tex](fog)(x) = 12 - 6x - 2[/tex]
[tex](fog)(x) = 12 - 2 - 6x[/tex]
[tex](fog)(x) = 10 - 6x[/tex]
Misalkan, [tex](fog)(x) = y[/tex]
Maka,
[tex]y = 10 - 6x[/tex]
[tex] - 6x = y - 10[/tex]
[tex]x = \frac{y - 10}{ - 6} [/tex]
[tex]x = \frac{10 - y}{6} [/tex]
[tex]{(fog)}^{ - 1}(x) = \frac{10 - x}{6} [/tex]
[tex]{(fog)}^{ - 1}(4) = \frac{10 - 4}{6} [/tex]
[tex]{(fog)}^{ - 1}(4) = \frac{6}{6} [/tex]
[tex]{(fog)}^{ - 1}(4) = 1[/tex]
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