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# Missing piece Let g(x)= x + 3 and find a function f that

ISBN: 9780321570567 2

## Solution for problem 43E Chapter 1.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 43E

Missing? ?piece? ?Let g?(?x?)?= x? + 3 ?and find a function f that produces the given composition. (?g? ° ? ?? ?) ?= x? +3

Step-by-Step Solution:

Step-by-step solution Step 1 of 3 Step 2 of 3 The function (g f)°x)is the composite function and it can be written as g(f(x)), so we can write the following: (g °)(x) = g(f(x)) g(x) = x +3 g(f(x)) = f(x) +3…….(1) From the text of the probl m we have ( ° ) )=g(f(x)) x +3, therefore based on the relation (1) we can write the following: f(x) +3 = x +34 Let’s rearrange this relation: 2 4 f(x) +3 = x +3 f(x) = x +33 2 f(x) = x 4 2 2 2 f(x) = (x ) f(x) = x 2

Step 3 of 3

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Missing piece Let g(x)= x + 3 and find a function f that

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