Questions: Use the graph below to fill in the missing values. f(0)= f(x)=0, x= 2 f^(-1)(0)= 2 f^(-1)(x)=0, x=

Transcript text: Use the graph below to fill in the missing values. $f(0)=$ $\square$ $f(x)=0, x=$ 2 $\square$ $f^{-1}(0)=$ 2 $\square$ $f^{-1}(x)=0, x=$ $\square$

Solution

Solution Steps

Step 1: Find f(0)

When x = 0, the graph of f(x) has a value of 1.

Step 2: Find x when f(x) = 0

The graph of f(x) intersects the x-axis at x = 2. Thus, f(2) = 0.

Step 3: Find f⁻¹(0)

f⁻¹(0) means find the x-value when f(x) = 0. From Step 2, this occurs when x = 2. Therefore, f⁻¹(0) = 2.

Final Answer:

f(0) = 1 f(x) = 0, x = 2 f⁻¹(0) = 2

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