Question

the function f(x) is invertible. find $f^{-1}(0)$.
$f^{-1}(0) = \square$

Explanation:

Step1: Recall inverse function property

For an invertible function \( f(x) \), if \( f(a) = b \), then \( f^{-1}(b) = a \). So we need to find \( x \) such that \( f(x) = 0 \).

Step2: Find x where f(x)=0

From the graph, the function \( f(x) \) intersects the x - axis (where \( y = 0 \)) at \( x = 8 \). That means \( f(8)=0 \).

Step3: Apply inverse function property

Using the property of inverse functions, since \( f(8)=0 \), then \( f^{-1}(0)=8 \).

Answer:

\( 8 \)