Use the graphs to evaluate the expressions below. 0+ 5 4 3 f(x) f(g(0)) 9(f(5)) = f(f(1)) = 9(9(3)) - 6 5 4- 3 2 1 8(x) Domain of 3 5 Given functions f(2)= and g(2)=2²-4, state the domains of the following functions using interval notation. f(x) g(z) Domain of f(g(z)) : Domain of g(f(z)) : If f(x)=z¹ +6, g(z)=z-8 and h(z)=√, then f(g(h(z))) - The number of bacteria in a refrigerated food product is given by N(T) = 227²1217 +67, 5

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use the graphs to evaluate the expressions below.
0+
5
4
3
f(x)
f(g(0))
9(f(5)) =
f(f(1))
=
9(9(3)) -
6
5
4-
3
2
1
8(x)
Domain of
3
5
Given functions f(2)= and g(2)=2²-4, state the domains of the following functions using
interval notation.
f(x)
g(z)
Domain of f(g(z)) :
Domain of g(f(z)) :
If f(x)=z¹ +6, g(z)=z-8 and h(z)=√, then
f(g(h(z))) -
The number of bacteria in a refrigerated food product is given by N(T) = 227²1217 +67,
5<T<35, where T is the temperature of the food.
When the food is removed from the refrigerator, the temperature is given by T(t)- 7t+1.9, where it is
the time in hours.
Find the composite function N(T());
N(T(t)) =
Find the time when the bacteria count reaches 5152.
Time Needed -
hours
The function h(z) - (x + 2)² can be expressed in the form f(g(z)), where f(z)=z², and g(z) is
defined below:
9(z)-
The function A(z) can be expressed in the form f(g(z)), where g(x) = (x+2), and ƒ(z) is
defined as:
f(x)=
Transcribed Image Text:Use the graphs to evaluate the expressions below. 0+ 5 4 3 f(x) f(g(0)) 9(f(5)) = f(f(1)) = 9(9(3)) - 6 5 4- 3 2 1 8(x) Domain of 3 5 Given functions f(2)= and g(2)=2²-4, state the domains of the following functions using interval notation. f(x) g(z) Domain of f(g(z)) : Domain of g(f(z)) : If f(x)=z¹ +6, g(z)=z-8 and h(z)=√, then f(g(h(z))) - The number of bacteria in a refrigerated food product is given by N(T) = 227²1217 +67, 5<T<35, where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t)- 7t+1.9, where it is the time in hours. Find the composite function N(T()); N(T(t)) = Find the time when the bacteria count reaches 5152. Time Needed - hours The function h(z) - (x + 2)² can be expressed in the form f(g(z)), where f(z)=z², and g(z) is defined below: 9(z)- The function A(z) can be expressed in the form f(g(z)), where g(x) = (x+2), and ƒ(z) is defined as: f(x)=
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