Understanding Function Composition | f(g(x)) = x^(1/2)

Find the composition of the function.f(x)=x^1/2 and g(x)=1x Find f(g(x)).

To find the composition of two functions, we substitute the expression of the inner function into the expression of the outer function

To find the composition of two functions, we substitute the expression of the inner function into the expression of the outer function.

Let’s start by finding f(g(x)).

Given:
f(x) = x^(1/2)
g(x) = 1*x

To find f(g(x)), we need to substitute g(x) into f(x).

f(g(x)) = f(1 * x)

Replace g(x) in f(x):
f(g(x)) = f(x)

So, f(g(x)) would simply be equal to f(x).

Therefore, f(g(x)) = x^(1/2).

In other words, the composition of the functions f(x) = x^(1/2) and g(x) = 1 * x is also equal to x^(1/2).

More Answers: