   Chapter 1.3, Problem 48E

Chapter
Section
Textbook Problem

Express the function in the form f ∘ g.48. u ( t ) = tan t 1 + tan t

To determine

To express: The function u(t)=tant1+tant in the form of (fg)(t).

Explanation

Calculation:

Suppose the function tant is represented as  g(t)=tant.

Then the function u(t)=tant1+tant can be represented as u(t)=g(t)1+g(t).

Replace g(t) by t to obtain the expression for f(t).

Therefore, the value of f(t)=t1+t.

Verification:

The composite function (fg)(t) is defined as follows

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Finite Mathematics and Applied Calculus (MindTap Course List)

Evaluate the integral. 01r34+r2dr

Calculus (MindTap Course List)

Simplify: 5251155

Elementary Technical Mathematics 