Question

question
find $f(f^{-1}(-5))$.

$x$

$f(x)$

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$-7$

$-6$

$-15$

$-5$

$-5$

$-7$

$-6$

$-15$

$14$

$6$

$20$

$-4$

answer attempt 1 out of 10

Explanation:

Step1: Recall inverse function property

For any invertible function $f$, $f(f^{-1}(y)) = y$ for all $y$ in the range of $f$.

Step2: Apply the property to the problem

Here, we need to find $f(f^{-1}(-5))$. By the inverse function property, this simplifies directly to the input value inside the composition, which is $-5$.

Answer:

$-5$