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Question

If f is a one-to-one function and $f(3)=8,$ then $f^{-1}(8)=$ _____.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3When $f$ is a one-to-one, then we know $f$ is a function, and it has a distinct value for any input $x$.

Therefore, when you take an inverse of $f$, the result must be equal to the input of the original function. Hence if $f(3)=8$, then:

$f^{-1}(8)=3$

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