Question

Given the following table with selected values of f (x) and g(x), evaluate f (g(3)).
x –6 –4 1 3 4
f (x) 4 –1 –6 1 3
g(x) 1 4 3 –4 –6

Answer 1

The value of the function f(x) and the g(x) become f(g(3)) = -5.

According to the statement

we have given that the values of f (x) and g(x), And we have to evaluate f (g(3)).

So, For this purpose, we know that the

Here f (x) 4 –1 –6 1 3

And the value of the g(x) 1 4 3 –4 –6

So,

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

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.

So, The value of the function f(x) and the g(x) become f(g(3)) = -5.

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