Question

The notation f(g(x)) indicates that you replace x in f(x) with g(x).
a) True
b) False

Answer 1

The notation f(g(x)) means that g(x) replaces x in f(x), considered as 'function composition'. The answer is true.

Step-by-step explanation:

The notation f(g(x)) does indeed indicate that you replace x in f(x) with g(x). This is known as a composition of functions, where g(x) is first evaluated, and then the resulting value is used as the input for the function f. Essentially, you are performing g first, and then applying f to the outcome of g.

True is the correct answer. When working with compositions, we evaluate the inner function first and then use its output as the input for the outer function. For example, if f(x) = x + 1 and g(x) = 2x, then f(g(x)) would be f(2x), which means you would first double x and then add 1 to that result.