1. Find fog, gof, fof, and gog 2. State the domain for each. X-7For f(x) =X+6X+8and g(x) =find the following composite functions and state the domain of each.X-9'a. fogb. gofc. fofd. goga. (fo g)(x) = (Factor completely Simplify your answer.)

Answered: X-7 For f(x)= X+6 X+8 and g(x) = find…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.6: Graph Quadratic Functions Using Properties

Problem 289E: How do the graphs of the functions f(x)=x2 and f(x)=x21 differ? We graphed them at the start of this...

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In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Minimizing Time A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstream on the opposite bank, he first rows his boat to point Pon the opposite bank and then walks the remaining distances x to B, as shown in the figure. He can row at a speed or 2 mi/h and walk as a speed of mi/h (a) Find a function that models the time needed for the trip. (b) Where should he land so that he reaches B as soon as possible?
The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t)=5t+1.5 , where t is the time in hours. a. Find the composite function N(T(t)) . b. Find the time (round to two decimal places) when the bacteria count reaches 6,752.

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X-7 For f(x)= X+6 X+8 and g(x) = find the following composite functions and state the domain of each. X-9' a. fog b. gof c. fof d. gog a. (fog)(x) = (Factor completely. Simplify your answer.)