High School

The function f is defined by the formula f(x)= x^2 + 2 and the function g is defined by the graph shown below, which of the following is the value of f(g(2))

The function f is defined by the formula f x x 2 2 and the function g is defined by the graph shown below which

Answer :

The value of the composite function f(g(2)) when evaluated is 18

How to evaluate the composite function

From the question, we have the following parameters that can be used in our computation:

f(x) = x² + 2

Also, we have that

The graph represents the function g(x)

From the graph, we have

g(2) = 4

Recall that

f(x) = x² + 2

So, we have

f(g(2)) = 4² + 2

Evaluate

f(g(2)) = 18

Hence, the composite function is 18

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