Guide To Finding Composite Function F(G(X)) | Simplified Example Using F(X) = 2X + 1 And G(X) = Sqrt(X)

Find the composition of the function.g(x)=sqrt(x) and g(x)=sqrt(x) find f(g(x)).

x^(1/6)

To find f(g(x)), we need to substitute g(x) (which is equal to sqrt(x)) into the expression for f(x) and simplify. Let’s say that:

f(x) = 2x + 1

Then,

f(g(x)) = f(sqrt(x))

= 2(sqrt(x)) + 1

= 2sqrt(x) + 1

So the composition of the function f(x) with g(x) = sqrt(x) is f(g(x)) = 2sqrt(x) + 1.

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