Matematika

Pertanyaan

diketahui (gof)–¹ (x) = x-2/2 jika g(x) = x-1 tentukan nilai dari f–¹(7)

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  • fungsi invers

    (gof)⁻¹(x) = (x -2)/ 2
    g(x)= x - 1
    (gof)⁻¹ o f(x) =  x- 1
    (gof)⁻¹{ f(x)}= x - 1
    f(x) -2 / 2 = x - 1
    f(x) -2 = 2(x -1)
    f(x)= 2x -2 + 2
    f(x)= 2x
    f⁻¹(2x)= x
    f⁻¹(7)= ...
    2x = 7
    x = 7/2

    f⁻¹(7) = 7/2


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