Given f(x) below, what is f-¹ (5) ?
4
84

Answer:
-7
Step-by-step explanation:
You want to use the graph of f(x) to find the value of ...
[tex]f^{-1}(5)[/tex]
The graph shows us that ...
f(-7) = 5
The inverse function tells us the x-value required to obtain the given y-value. The y-value 5 is obtained when x=-7:
[tex]\boxed{f^{-1}(5)=-7}[/tex]
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The function f(x) is not defined for x = 0, so it is not invertible. Therefore, f-¹(5) is undefined.
The term "undefined function" can have different meanings depending on the context. In general, it refers to a function that has not been defined or that cannot be evaluated for a given input.
In mathematics, a function is undefined at a point if it does not have a value at that point. For example, the function f(x) = 1/x is undefined at x = 0 because division by 0 is undefined.
In computer programming, a function is undefined if it has not been declared or if it has not been defined correctly.
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