contestada

Given the following table with selected values of f (x) and g(x), evaluate f (g(3)).


x –4 –3 0 3 5 8
f (x) 1 3 8 0 –5 –3
g(x) –7 0 3 5 8 2
8
–5
3
–3

Respuesta :

Extracting the numeric values of the functions from the table, it is found that f(g(3)) = -5

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  • f(g(3)) is the value of f(x) when x = g(3).
  • g(3) is the value of g(x) when x = 3.
  • Looking at the table, when x = 3, g(x) = 5, thus g(3) = 5.
  • f(g(3)) = f(5), which is the value of f(x) when x = 5. Looking at the table, this value is -5, thus, f(g(3)) = -5.

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