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23 November, 12:51

Given f (x) = -3x+8, find f^-1 (x) then state wheter F^-1 (x) is a function

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  1. 23 November, 13:08
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    f⁻¹ (x) = (8-x) / 3 and it is a Function.

    Step-by-step explanation:

    Given is f (x) = - 3x+8

    Suppose y = f (x), then y = - 3x + 8

    Solving for x:-

    -3x + 8 = y

    -3x = y - 8

    3x = 8 - y

    x = (8-y) / 3

    Now interchanging x and y:-

    y = (8-x) / 3

    Here, y is inverse function i. e. f⁻¹ (x)

    Hence, f⁻¹ (x) = (8-x) / 3

    Since f⁻¹ (x) is a linear expression of x, therefore it is a function.
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