Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Functions f(x) and g(x) are both increasing. In addition, the range of g is in domain of f. Prove that composite function f(g(x)) is increasing

Sagot :

crisforp
f: D -> E;
g: F -> G, where, g(F) is in D;

Let be x1, x2 ∈ F, with x1 < x2;
But, g(x1) < g(x2), because g is increasing; => f(g(x1) < f(g(x2) , because f is increasing =>
f(g(x) is increasing.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.