Respuesta :
The value of g(f(2)) is undefined in this function.
What is a function?
A function is defined as a relation between a set of inputs having one output each. It is a set of permissible outputs with the property that each input is related to exactly one output.
For the given situation,
The functions are
f = { [tex]{(-2, 4), (-1, 2), (0, 0), (1, -2), (2, -5)}[/tex] }
g = { [tex](-3, 3), (-1, 1), (0, -3), (1, -4), (3, -6)}[/tex] }
In the function f, the x values are { [tex]{-2,-1,0,1,2}[/tex] }
So, the value of f(2) is the output of the function that is corresponding y value.
⇒ [tex]f(2)=-5[/tex]
Then, [tex]g(f(2))=g(-5)[/tex]
In the function g, the x values are { [tex]-3,-1,0,1,3[/tex] }
Thus, g(x) does not have such point as g(-5).
Hence we can conclude that the value of g(f(2)) is undefined in this function.
Learn more about functions here
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