Whether the statement, if f and g are increasing on an interval I, then is increasing on I is true or false.
The given statement is true.
Given that the functions are increasing on an interval I.
Then, and , since the functions are increasing.
The sum of the function can be expressed as follows.
Thus, is an increasing function on I.
Therefore, the given statement is true.
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!