The point (-5,3) lies on the graph of f(x). Which of the following points lies on f-1(x)?

Question

The point (-5,3) lies on the graph of f(x). Which of the following points lies on
f-1(x)?

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Thạch Thảo 3 years 2021-08-16T01:08:52+00:00 1 Answers 13 views 0

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  1. huyenthanh
    0
    2021-08-16T01:09:57+00:00
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    Answer:

    (3, -5).

    Step-by-step explanation:

    By the definition of inverses:

    \text{If $f(a) = b$, then $f^{-1}(b)=a$}

    In other words, the inverse of a function returns the input when given the output of the original function.

    We know that the point (-5, 3) lies on the graph of f(x). In other words:

    f(-5)=3

    Then by definition:

    f^{-1}(3)=-5

    So, the point (3, -5) must lie on the graph of f⁻¹(x).

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