Question

Given the following table with selected values of f (x) and g(x), evaluate f (g(1)). (2 points) x –6 –4 1 3 4 f (x) 4 –1 –6 1 3 g(x) 1 4 3 –4 –6 –4 1 4 –1

Answer 1

The value of the composite function f(g(1)) is: 1

How to solve composite functions?

Function composition is an operation in mathematics that takes two functions, f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

We are given the table as:

x –6 –4 1 3 4

f(x) 4 –1 –6 1 3

g(x) 1 4 3 –4

Thus;

f(g(1)) is:

From the table, we see that g(1) = 3

Thus:

f(3) = 1

Therefore:

f(g(1)) = 1