Question

Which condition is required for g∘f to be defined?

Options

• The range of \(g\) should lie inside the domain of \(f\).

• The domain of \(f\) should lie inside the range of \(g\).

• The range of \(f\) should lie inside the domain of \(g\).

• The domains of \(f\) and \(g\) must be identical.

Answer 1

The second function must accept the output of the first function as its input. Hence, composition works only when the range of the inner function fits the domain of the outer function.