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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