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Single Variable Calculus

8th Edition
James Stewart
ISBN: 9781305266636

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BuyFindarrow_forward

Single Variable Calculus

8th Edition
James Stewart
ISBN: 9781305266636
Textbook Problem

Express the function in the form fg.

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

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